Question

one leg of a right triangle has length 17 inches; the hypotenuse is 31.4 inches. what is the length of the other leg of the triangle?

Answer 1

The length of the other leg of the triangle is 26.4 inches.

Here, we are given that one side of a right angled triangle has length 17 inches and the hypotenuse is 31.4 inches.

Now, the Pythagoras theorem states that, in a right angled triangle, the following equation holds-

$hypotenuse^{2} =height^{2} +base^{2}$

we already know two of these values so we can calculate the 3rd one.

Let the length of the 3rd side be x inches.

then, substituting the values in the Pythagoras equation, we have-

$31.4^{2}$ = $17^{2}+ x^{2}$

985.96 = 289 + $x^{2}$

$x^{2}$ = 985.96 - 289

$x^{2}$ = 696.96

x = 26.4

Thus, the length of the other leg of the triangle will be 26.4 inches.

Learn more about types of triangles here-

https://brainly.com/question/1058720

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