Question

the hypotenuse of a right triangle is 17cm long . if one of the remaining two sides is of length 8cm , find the length of the third side .

Answer 1

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Answer 2

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Question ---- The
hypotenuse of a right triangle is 17cm long. If one of the remaining two sides is of length 8cm, find the length of the third side.

Answer ----------

we know that in a right triangle
H^2 = P^2 + B^2
H^2 - P^2 = B^2
B = √(H^2 - P^2) ------------------(a)

where,
H is hypotenuse = 17cm
P is perpendicular = 8cm
and B is base = x cm
Now putting values in (a)

B=

$\sqrt{ {17}^{2} - {8}^{2} }$
B =
$\sqrt{289 - 64}$
B =
$\sqrt{125}$
B = 15cm

I. e., length of third side is 14 cm

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By
Mummasdollmuski
Expert