Question

One of the lengths of a leg of a right angled triangle is 15 feet. The length of the hypotenuse is 17 feet. Find the length of the other leg.

4 feet
6 feet
8 feet
10 feet

Answer 1

the hypotenuse^2 = sum of the squares of the other two sides
so the other should be = squareroot of 17^2 - 15^2 = 8 feet. i guess

Answer 2

8ft

Explanation:

We need to find out the length of the other leg of the triangle . Since it is a right angled triangle, we can use Pythagoras Theorem here , as,

`\sf\implies h^2 = p^2 + b^2 \\\\\sf\implies (17ft)^2= p^2 + (15ft)^2\\\\\sf\implies 289 ft^2 - 225ft^2 = b^2 \\\\\sf\implies b^2 = 64 ft^2\\\\\sf\implies \underline{\underline{ base = 8 \ ft }}`