Question

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Find the area of the triangle below (may use Heron's or Sine Formula). The sides have length 18 in. 43 in. and 26 in.: . 18 in (155 43 in 26 in Screenshot (6).png 98.9 sq. in. 236.2 sq. in. 197.8 sq. in. None of the above. 163,6 sq. in.

Answer 1

we can use Heron's formula to determine the area of tringle when given the lengths of the sides. Area of tringle, А S(S-a) (S-6)(S-C) where i. S- sa semi-Perimeter of fringle. a, b, and c are the lengths of the sides a+b+c 2 The given lengths of the sides are 18 in ;43 in , 26 in 18+43+26 sa 87 2 - 43.5 2 • Area 7 43.5(43.5-18) (43.5 - 43) (43.5-26) 43.5 × 25.5 x 0.5 X 17.5 sq.in 98.5186 sq. in. Area - 98.51 99. in ,

Now using of fringle Sine formula to find the area . Area of tringle 그 Ź ab sin (c) Il Ź X18X 26 X Sin 1550 = 234 x Sin 155° - 98.89 sq. in. ñ 98.9 sq. in Area of tringle - 98.9 sq. in. Answer o • 98.9 sq.in.