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Question

What is the length of the longest side of a right-angled triangle whose other two sides are 8 m and 15 m long?

A
12 m
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B
7 m
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C
17 m
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D
289 m
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Solution

The correct option is C 17 m
In a right-angled triangle, the longest side is its hypotenuse.
Also, in such a triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Using Pythagoras' Theorem, we get that the hypotenuse equals 152+82.
Hypotenuse=225+64 =289
=17 m

Therefore, the length of the hypotenuse is 17 m.

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