In a right angle triangle, the hypotenuse is 10cm more than the shortest side. If third side is 6cm less than the hypotenuse, find the sides of the right angle triangle.
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abiramiragu
Secondary SchoolMath 5+3 pts
The hypotenuse of a right angled triangle is 6 cm more than twice the shortest side. If the third
side is 2 cm less than the hypotenuse, what are the sides of the triangle in cm?
Report by Oliym 26.01.2018
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abiramiragu
Abiramiragu · Expert
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gaurav2013c
Gaurav2013c Maths AryaBhatta
Let the base be p
Hypotenuse = 2p +6
Perpendicular = 2p + 4
By Pythagoras theoram
(2p+6)^2 = (2p+4)^2 +p^2
=> 4p^2 +36 + 24p = 4p^2 + 16 +16p +p^2
=> 36+ 24p = p^2 + 16p + 16
=> p^2 - 8p - 20 = 0
=> p^2 - 10p +2p - 20 = 0
=> p(p-10) +2(p-10) = 0
=> (p-10)(p+2) = 0
p = 10 and - 2
Length can't be negative
So,
p = 10
Base = 10
Perpendicular = 24
Hypotenuse = 26
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Hey mate here is your answer
10^2=6^2+c^2
100 =36+c^2
100-36=c^2
64 =c^2
Root of 64 = c
8=c
THERFORE THE SIDES OF TRIANGLE ARE 6,8 and 10.
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