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Question

Find the ratio of the area to the perimeter of an acute triangle as shown in figure.

A
79
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B
97
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C
79
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D
23
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E
32
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Solution

The correct option is A 79
Given,
Base of a triangle=BC=7
Height of a triangle=AD=4
Let's consider a triangle ABC as shown.
Here BC=7 and AD=4

As we know,
Area ofABC=12× Base× Height
12×7×4=14 sq. unit.

Perimeter of the triangle.
Perimeter of the triangle = sum of all three sides of a traingle.
=AB+BC+AC
=5+7+6=18 unit.

Hence the ratio is,
Area of triangle ABCPerimeter of the triangle ABC=1418=79

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