Question

Urgent help required with right triangle trig

Answer 1

To find the area of a square with it's diagonal, there's actually a formula = (1/2)d², but here's how to do it if you don't have the formula:

The diagonal c separates the square into two of the same triangles. Therefore, we can apply Pythagorean Theorem

a²+b²=c² ← Since this is a square, a=b is a must

a²+a²=c² ← Combine like terms, and plug 26 in for c

2a²= 26² ← 26²=676, then divide 2 on both sides

a²= 676/2

a²=338 ← We can just stop here! Since a is a side of the square, therefore the area of a square = a²

Answer: 338 units²