Question

what is total area of triangles? combine the like terms. pythagorean theorem a = a1 + a2 + a3 + a4 + a5 (a+b)² = a1 + a2 + a3 + a4 + a5 (a+b)² = a1 + a2 + a3 + a4 + c² (a+b)² = ½ab + ½ab ½ab + ½ab + c² 2ab 4ab ½ ab⁴ a²b²

Explanation:

Step1: Identify number of triangles

There are 4 triangles (A1, A2, A3, A4) with area $\frac{1}{2}ab$ each.

Step2: Calculate total area

Total area = $4\times\frac{1}{2}ab = 2ab$.

Answer:

2ab