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the figures below are similar. the labeled sides are corresponding. what is the area of the larger triangle?

the figures below are similar. the labeled sides are corresponding. what is the area-example-1

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ANSWER:

64 square inches.

Explanation:

The first thing is to calculate the ratio between the corresponding sides of the triangles:


r=(8)/(6)=(4)/(3)

We must bear in mind that the area of the larger t triangle is equal to the area of the small triangle multiplied by the ratio of the square, since the area is a quadratic unit, therefore:


\begin{gathered} A_2=r^2\cdot A_1 \\ \text{ we replacing} \\ A_2=\mleft((4)/(3)\mright)^2\cdot36=(4^2)/(3^2)\cdot36=(16)/(9)\cdot36 \\ A_2=64in^2 \end{gathered}

The area of the larger triangle is 64 square inches.

User Amjad Shahzad
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