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

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

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Calantha 2 months 2021-07-23T13:28:53+00:00 2 Answers 2 views 0

Answers ( )

    0
    2021-07-23T13:30:13+00:00

    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

    0
    2021-07-23T13:30:37+00:00

    Answer:

    8ft

    Step-by-step 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 }}

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