Question

Given the three side lengths of a trianagle are 6 cm, 8 cm, and 10 cm. Will

this make a right triangle?

Answer 1

Yes

Explanation:

Use the Pythagorean Theorem to determine if the measurement would make a right triangle.

`a^2+b^2=c^2`

'a' and 'b' will be 6 and 8.

'c' will be 10.

`6^2+8^2=10^2\\\rightarrow 6^2 = 36\\\rightarrow 8^2 = 64\\\rightarrow 10^2=100\\=> 36+64=100\\\boxed{100=100}`

Since the measurements satisfies the theorem, they can make a right triangle.