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Sindrei [870]
3 years ago
10

Urgent help required with right triangle trig

Mathematics
1 answer:
mixas84 [53]3 years ago
6 0

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 <em>c</em> 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 <em>a </em>is a side of the square, therefore the area of a square = a²


Answer: 338 units²


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