Question

Triangle xyz is similar to triangle pqr. If xy:pq=5:1.If area of triangle pqr is 5sqcm.Whatis the area if triangle xyz

Answer 1

hey! hope it helps you out

Answer 2

The area of triangle xyz is 125 square units.

Step-by-step explanation:

Given information: $\triangle XYZ\sim \triangle PQR$, XY:PQ=5:1.

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

$\dfrac{A(XYZ)}{A(PQR)}=(\dfrac{XY}{PQ})^2$

$\dfrac{A(XYZ)}{5}=(\dfrac{5}{1})^2$

$\dfrac{A(XYZ)}{5}=25$

Multiply both sides by 5.

$A(XYZ)=25\times 5$

$A(XYZ)=125$

Therefore, the area of triangle xyz is 125 square units.

#Learn more

The triangle ABC and XYZ are similar in that order and AB:XY = 3:2. Find the ratio of the area of triangle ABC to that of triangle XYZ.

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