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If a triangle with a base of 10ft has the same area as a circle with

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If a triangle with a base of 10ft has the same area as a circle with  [#permalink]

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New post 08 Mar 2019, 01:09
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A
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C
D
E

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100% (01:03) correct 0% (00:00) wrong based on 13 sessions

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If a triangle with a base of 10ft has the same area as a circle with radius 3ft, then what is the height of the triangle?

A. 9π/5 ft
B. 10π ft
C. 5 ft
D. 5.2 ft
E. 15π/9 ft

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Re: If a triangle with a base of 10ft has the same area as a circle with  [#permalink]

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New post 08 Mar 2019, 01:18

Solution


Given:
    • A triangle with a base of 10 ft has the same area as a circle with radius 3 ft

To find:
    • The height of the triangle

Approach and Working:
If we assume the height of the triangle as h, then
    • Area of the triangle = \(½ * 10 * h = 5h\)

Radius of the circle is 3
    • Area of the circle = \(π * 3^2 = 9π\)

As the area of the triangle is same as the area of the circle, we can say
    • 5h = 9π
    Or, h = 9π/5

Hence, the correct answer is option A.

Answer: A

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Re: If a triangle with a base of 10ft has the same area as a circle with   [#permalink] 08 Mar 2019, 01:18
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