Question

Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 50 centimeters

Answer 1

The length of the hypotenuse of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle with a leg length of 50 centimeters is $50\sqrt{2}$.

Formula to find the hypotenuse of $45^{\circ}-45^{\circ}-90^{\circ}$triangle.

The formula to calculate the hypotenuse of $45^{\circ}-45^{\circ}-90^{\circ}$  traingle is to multiply the length of the leg by $\sqrt{2}$.

How to find the length of the hypotenuse?

The length of the two legs of $45^{\circ}-45^{\circ}-90^{\circ}$ triangle is equal.

Then the length of its hypotenuse will be calculated by multipling the length of the leg and $\sqrt{2}$.

Since the length of the leg is 50 centimeters,

Then its hypotenuse will be

$h=50\times\sqrt{2}\\h=50\sqrt{2}$

So, the length of the hypotenuse will be $50\sqrt{2}$.

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