Question

triangle ABC similar triangle PQR if A(ABC)=25 A(PQR) =16 find AB:PQ​

Answer 1

it may help you. ...

Answer 2

The ratio of AB:PQ​ is 5:4.

Step-by-step explanation:

Given information: $\triangle ABC\sim \triangle PQR$, A(ABC)=25 and A(PQR) =16

We need to find the ratio of AB:PQ.

The ratio of area of two similar triangle is proportional to the ratio of square of their corresponding sides.

$\dfrac{A(ABC)}{A(PQR)}=\dfrac{(AB)^2}{(PQ)^2}$

$\dfrac{25}{16}=(\dfrac{AB}{PQ})^2$

Taking square root on both sides.

$\dfrac{5}{4}=\dfrac{AB}{PQ}$

Therefore, the ratio of AB:PQ​ is 5:4.

#Learn more

If triangle ABC similar to triangle pqr and area of triangle pqr equal to 4 and area of triangle ABC equal to 1 then AB:PQ is​

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