The area of the triangle ABC is 25.6 sq. cm XY is drawn parallel to BC and it divides AB in the ratio 5:3. Find the area of the triangle AXY.

Open in App

Solution

In ΔABC, XY is parallel to BC such that .

Since XY is parallel to BC, ΔABC and ΔAXY are similar.

By Area theorem, the areas of two similar triangles are proportional to the squares of the corresponding sides.

Hence, the area of ΔAXY is.

Suggest Corrections

Similar questions

In fig, the line segment XY is parallel to side AC of $△$ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{A X}{A B}$

Q. In

△ A B C, X Y | | B C

and XY divides the triangle into two parts of equal areas. Find

(\frac{B X}{A B})

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{B X}{A B}$ .

The line segment XY is parallel to side AC of Δ ABC and it divides the triangle into two parts of equal areas. Find the ratio $\frac{A X}{A B}$ .

Q. In figure, the line segment XY is parallel to side AC of

Δ A B C

and it divides the triangle into two parts of equal areas. Find the ratio

\frac{A X}{A B}

Join BYJU'S Learning Program

The area of the triangle ABC is 25.6 sq. cm XY is drawn parallel to BC and it divides AB in the ratio 5:3. Find the area of the triangle AXY.

In ΔABC, XY is parallel to BC such that . Since XY is parallel to BC, ΔABC and ΔAXY are similar. By Area theorem, the areas of two similar triangles are proportional to the squares of the corresponding sides. Hence, the area of ΔAXY is.

In ΔABC, XY is parallel to BC such that .

Since XY is parallel to BC, ΔABC and ΔAXY are similar.

By Area theorem, the areas of two similar triangles are proportional to the squares of the corresponding sides.

Hence, the area of ΔAXY is.