Two different isosceles triangles with perimeter 4a+b
Is this a right angle isosceles triangle?
Homework Answers
If a and b are two sides and the perimeter is 4a + b, the third side is
c = (4a + b) - a - b = 3a. Since c is not equal to a and the triangle is isosceles, either b = c or b = a.
Use the Pythagorean theorem to see if the triangle could be a right angle.
if a = b and c = 3a, it can't be, since a^2 + b^2 = 2a^2 cannot = c^2.
2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare...
2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare disk model suggesting that the angle measure of the base angle indeed can attain any value in that interval. (15 points)
2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch...
2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare...
2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare disk model suggesting that the angle measure of the base angle indeed can attain any value in that interval. (15 points)
2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch...
JAVA question Interface and Abstract Class (20 pts): There are three types of triangles in terms...
JAVA question
Interface and Abstract Class (20 pts): There are three types of triangles in terms of how many sides are equal: • Equilateral Isosceles Scalene There are three types of triangles in terms of the degrees of interior angles: • Right · Acute . Obtuse Right Isosceles triangle is a right triangle, as well as an isosceles triangle. Triangle 590° Right triangle Isosceles triangle Right isosceles triangle Create a public interface Triangle, add the following method signatures: • double...
The length of the base of an isosceles triangle is 41.69 inches. Each base angle is...
The length of the base of an isosceles triangle is 41.69 inches. Each base angle is 29.24°. Find the length of each of the two equal sides of the triangle. (Hint: Divide the triangle into two right triangles.)
Problem of the Week The two isosceles right triangles are congruent. If the area of the...
Problem of the Week The two isosceles right triangles are congruent. If the area of the inscribed square on the left is 441 square units, what is the area of the inscribed square on the right? Explain
A If Angle ABD is congruent to Angle EEB, then two pairs of triangles are congruent...
A If Angle ABD is congruent to Angle EEB, then two pairs of triangles are congruent in this figure. CBB Concepts used: Isosceles triangle, Angles opposite congruent sides are congruent, base angles are congruent, triangle congruence theorems, and CPCTC Color-code all corresponding congruent parts with the same color . Label congruent angles using letters such as xe and y°, etc. Name the two triangles that are congruent State which triangle congruence theorems/corollaries apply. Show work on the figure that verifies...
isosceles triangles BCX,CAY, and ABZ are constructed externally on the sides of a triangle ABC. show...
isosceles triangles BCX,CAY, and ABZ are constructed externally on the sides of a triangle ABC. show that the centroids of triangle ABC and triangle XYZ coincide
3. The thin-tube shown below has a cross section made of two isosceles triangles and and it is tw...
3. The thin-tube shown below has a cross section made of two isosceles triangles and and it is twisted as shown. Determine (a) The magnitude of the maximum shear stress T. Where does it oocur? (b) The polar moment of inertia J. (e) The angle of rotation ()cyp in degrees per unit length. G 750 GPa 1-33-m1600 N-m 6S0 N- 650 N-m 100 mm 200 mm 240 200 14.2a 56005
3. The thin-tube shown below has a cross section made...
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If...
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If not possible, explain why. (1) The two triangles have congruent corresponding angles. (ul) The two triangles have congruent corresponding angles, and one pair of sides (not corresponding sides) congruent. () The two triangles have congruent corresponding angles, and two pairs of sides (not corresponding sides) congruent. b) (i) is the statement "If A ABC A DEF, then 2CAB ELFED", true or false? Clearly explain...
Theorems Regarding Right Angle Triangles
Summarize Euclid's approach to proving proposition 1.47 and 1.48.1.47: In right-angled triangles, the square on the side subtending the right angle is equal to the squares on the sides containing the right angle.1.48: If In a triangle the square on one of the sides be equal to the squares on the remaining two sides of the triangle, the angle contained by the remaining two sides of the triangle is right.
2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare disk model suggesting that the angle measure of the base angle indeed can attain any value in that interval. (15 points)
2. In hyperbolic geometry, what is the possible range for the degree measure of the base angles of an isosceles triangle with a right angle? Sketch...
2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch three different such triangles in the Poincare disk model suggesting that the angle measure of the base angle indeed can attain any value in that interval. (15 points)
2. In hyperbolic geometry, what is the possible range for the degree measure of thie base angles of an isosceles triangle with a right angle? Sketch...
JAVA question
Interface and Abstract Class (20 pts): There are three types of triangles in terms of how many sides are equal: • Equilateral Isosceles Scalene There are three types of triangles in terms of the degrees of interior angles: • Right · Acute . Obtuse Right Isosceles triangle is a right triangle, as well as an isosceles triangle. Triangle 590° Right triangle Isosceles triangle Right isosceles triangle Create a public interface Triangle, add the following method signatures: • double...
Problem of the Week The two isosceles right triangles are congruent. If the area of the inscribed square on the left is 441 square units, what is the area of the inscribed square on the right? Explain
A If Angle ABD is congruent to Angle EEB, then two pairs of triangles are congruent in this figure. CBB Concepts used: Isosceles triangle, Angles opposite congruent sides are congruent, base angles are congruent, triangle congruence theorems, and CPCTC Color-code all corresponding congruent parts with the same color . Label congruent angles using letters such as xe and y°, etc. Name the two triangles that are congruent State which triangle congruence theorems/corollaries apply. Show work on the figure that verifies...
3. The thin-tube shown below has a cross section made of two isosceles triangles and and it is twisted as shown. Determine (a) The magnitude of the maximum shear stress T. Where does it oocur? (b) The polar moment of inertia J. (e) The angle of rotation ()cyp in degrees per unit length. G 750 GPa 1-33-m1600 N-m 6S0 N- 650 N-m 100 mm 200 mm 240 200 14.2a 56005
3. The thin-tube shown below has a cross section made...
4. a) Draw an example of two non congruent triangles that satisfy the following conditions. If not possible, explain why. (1) The two triangles have congruent corresponding angles. (ul) The two triangles have congruent corresponding angles, and one pair of sides (not corresponding sides) congruent. () The two triangles have congruent corresponding angles, and two pairs of sides (not corresponding sides) congruent. b) (i) is the statement "If A ABC A DEF, then 2CAB ELFED", true or false? Clearly explain...
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