Question

If each leg of a 45°-45°-90° triangle measures 8 centimeters, what is the perimeter of the triangle?

Answer 1

Answer:

The perimeter is around 27 centimeters.

Step-by-step explanation:

Givens

• Each leg is 8 centimeters long.
• The angles of the right triangle are 45°, 45° and 90
• °.

Remember that the perimeter is the sum of all sides. So, we just need to find the hypothenuse using Pitagorean's Theorem.

$h^{2}=8^{2} +8^{2}\\ h=\sqrt{64+64}=\sqrt{128} \approx 11$

The perimeter would be

$P=8+8+11\\P=27$

Therefore, the perimeter is around 27 centimeters.