Question

The sides of a right triangle whose hypotenuse is 17cm are

PLEASE GIVE DETAILED EXPLANATION AND PROPERTIES
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Answer 1

n^2 +1=hypotenuse=17
n^2-1=16-1=15
2n=4×2=8

Answer 2

The sides of the right-angled triangle are 17 cm, 15 cm, and 8 cm.

Given,

The hypotenuse of a right-angled triangle is 17 cm.

To Find,

The sides of the right-angled triangle.

Solution,

The sides of a right angles triangle are always in the form of a Pythagorean triplet.

The Pythagorean triples are always 2n, n²-1, and n²+1.

Now, the hypotenuse of the triangle is given as 17 cm

So,

n²+1 = 17

n² = 16

n = 4 cm.

n²-1 = 15 cm

2n = 8 cm.

So, the Pythagorean triplet is 17 cm, 15 cm, and 8 cm.

Hence, the sides of the right-angled triangle are 17 cm, 15 cm, and 8 cm.

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