Question

the hypotenuse of a right angle triangle is 1 m less than twice of the shortest side if the third side is 1 metre more than the shortest side find the sides of the triangle

Answer 1

the answer is 3,4,5,

Answer 2

ANSWER:
The sides are 3m, 4m & 7m in length.

EXPLANATION:
Let shortest side be s
Hypotenuse be h
Third side be x

Given data,
h=2s-1 - - - - - - - - - - (1)
x=s+1 - - - - - - - - - - - (2)

By Pythagoras theorem,
h²=s²+x²
(2s-1)²=s²+(s+1)²
4s²+1²-(2×2s×1)=s²+(s²+1²+2×s×1)
4s²+1-4s=2s²+1+2s
4s²-2s²=2s+4s
2s²=6s
2s=6
s=3

Substituting value of s in equations (1) & (2)
h=2s-1 - - - - - - - - - - (1)
h=2×3+1
h=6+1
h=7

x=s+1 - - - - - - - - - - - (2)
x=3+1
x=4

Hence sides of given right angled triangle are 3m, 4m & 7m in length.

NOTE:
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