Each leg of a 45° -45° -90° triangle measures 12 cm. What is the length of the hypotenuse?

Solution:

Given,a triangle having angles 45° -45° -90°.

Each leg measures 12 cm.

This implies that it is an isosceles triangle.

The 2 legs are equal.

We have to find the length of the hypotenuse

By pythagoras theorem,

a² + b² = c²

(12)² + (12)² = c²

144 + 144 = c²

c² = 288

Taking square root,

c = 16.97cm.

Therefore, the length of the hypotenuse is 16.97cm.

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Each leg of a 45°-45°-90° triangle measures 12 cm. What is the length of the hypotenuse?

Summary:

Each leg of a 45°-45°-90° triangle measures 12 cm. The length of the hypotenuse is 16.97cm.