CBSE Class 8 Answered
The side (other than hypotenuse) of a right triangle Are in the ratio of 3:4. A rectangle is described in its hypotenuse, the hypotenuse being the longer side of the rectangle. The breadth of the rectangle is 4/5 of its length. Find the shortest side of the right triangle if the perimeter of the rectangle is 180cm.
Asked by Jvbhagwat1970 | 02 Dec, 2018, 10:53: PM
Expert Answer
Let the sides AB and BC of right triangle in figure are 4x and 3x respectively.
then side AC = 
breadth AE of rectangle = (4/5) of (5x) = 4x.
perimeter of rectangle = 2(4x+5x) = 180 cm.........(1)
From eqn.(1), we get x = 10 cm.
shortest side of triangle = 3x = 3×10 = 30 cm
Answered by Thiyagarajan K | 03 Dec, 2018, 01:54: AM
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