Consider the square lattice shown next.a. How many different triangles can you draw that h...

Consider the square lattice shown next.

a. How many different triangles can you draw that have  as one side?

---

b. How many of these are isosceles?

---

c. How many are right triangles?

---

d. How many are acute?

---

e. How many are obtuse? (hint: Use your answers to parts (a), (c), and (d).)