Question

the hypotenuse of a right triangle is 4 times the smallest side. The third side is root 735. find the hypotenuse and the smallest side.

Answer 1

lets the smallest side be x. Then hypotenuse is 4x.
So, by Pythagoras theorem
x^2+735=(4x)^2
735=16x^2-x^2
x^2=735÷15
x=_/49
x=7cm
So, smallest side is 7cm and hypotenuse is 28cm.
PLZ MARK IT AS BRAINLIEST.

Answer 2

Hi friend,

ATQ let the smallest side =x,
so hypotenuse =4x
and third side =√735
NOW using PGT,we get

(4x)²=x²+(√735)²

16x²=x²+735

15x²=735

x²=735/15

x²=49

x=7

so small side=7cm

and hypotenuse=28 cm
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