Question

The height and base of a triangle are equal, if its area is 92.16m.sq, find its base length.

Answer 1

Answer:

Its base length is 13.57m

Answer 2

A n s w e r

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G i v e n

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• The height and base of a triangle are equal

• Area of the triangle is 92.16 sq. m

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F i n d

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• Base length

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S o l u t i o n

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• Let the base of triangle be "b"

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We know that ,

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$\underline{\bold{\texttt{Area of triangle :}}}$

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➠ $\sf A = \dfrac { 1 } { 2 } \times B \times H$ ⚊⚊⚊⚊ ⓵

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Where ,

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• A = Area of triangle

• B = Base

• H = Height

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$\underline{\bold{\texttt{Area of given triangle :}}}$

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Given that height and base are equal

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• A = 92.16

• B = b

• H = b

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⟮ Putting the above values in ⓵ ⟯

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➜ $\sf A = \dfrac { 1 } { 2 } \times B \times H$

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➜ $\sf 92.16 = \dfrac { 1 } { 2 } \times b \times b$

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➜ 92.16 × 2 = b²

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➜ 184.32 = b²

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➜ $\sf b = \sqrt { 184.32 }$

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➨ b ≈ 13.5 m

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• Hence the Base length is approx 13.5 m