3. Adjacent sides of a rectangle are in the ratio 5:12, if the perimeter of the rectangle is 34 cm, find the length of the diago
nal. 3. Adjacent sides of a rectangle are in the ratio 5:12 , if the perimeter of the rectangle is 34 cm , find the length of the diagonal.
1 answer:
Answer:
Adjacent sides are in the ratio 5 : 12
That means,
Let length = 12x and breadth = 5x
Perimeter = 34
2(l+b) = 34
12x + 5x = 17
17x = 17
x = 1
Lenth =12 cm
Breadth = 5 cm
By Pythagorean theorem
The length of the diagonal of rectangle = 13 cm
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