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ICSE Class 9 Answered

The sides of a right triangle containing the right angle are (5x) cm and (3x-1) cm. If the area of the triangle is 60 cm^2, calculate the length of the sides of the triangle.
Asked by kadtej83 | 24 Jan, 2019, 05:37: AM
answered-by-expert Expert Answer
The sides of a right triangle containing the right angle are (5x) cm and (3x-1) cm. 
Area of triangle = 60
begin mathsize 16px style 1 half cross times open parentheses 5 straight x close parentheses open parentheses 3 straight x minus 1 close parentheses equals 60 end style
Solving this we get x = 3 or x = -3/8
As x ≠ -3/8 hence x = 3
The sides of a triangle are 15 cm and 8 cm.
Find hypotenuse of a triangle using Pythagoras we get 17 cm.
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