Question

if the area of two similar triangles are 81 cm square and 144 CM square then find the ratio of their corresponding Heights

Answer 1

Don't hesitate to ask doubts if have

Answer 2

The ratio of their corresponding Heights is 9:12

Step-by-step explanation:

Theorem : The ratio of the area of two similar triangles is equal to the ratio of the square of the their corresponding heights .

Let h and H be the heights of similar triangles respectively

By using Theorem:

So,$\frac{81}{144}=\frac{h^2}{H^2}$

So, $\sqrt{\frac{81}{144}}=\frac{h}{H}$

$\sqrt{\frac{81}{144}}=\frac{h}{H}$

$\frac{9}{12}=\frac{h}{H}$

Hence the ratio of their corresponding Heights is 9:12

#Learn more;

The area of two similar triangles are 49 cm square and 81 cm square,find the ratio of their perimeter

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