In two triangles A B C and D E F, angle A= angle D. The sum of the angles A and B is equal to the sum of the angles D and E. If B C=6 cm and E F=8 cm, find the ratio of the areas of the triangles, A B C and D E F.

Question

In two triangles A B C and D E F, angle A= angle D. The sum of the angles A and B is equal to the sum of the angles D and E. If B C=6 cm and E F=8 cm, find the ratio of the areas of the triangles, A B C and D E F. (A) 3: 4 (B) 4: 3 (C) 9: 16 (D) 16: 9

Tardigrade Admin · Accepted Answer

The ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Q. In two triangles $A BC$ and $D EF, ∠ A = ∠ D$ . The sum of the angles $A$ and $B$ is equal to the sum of the angles $D$ and $E$ . If $BC = 6 c m$ and $EF = 8 c m$ , find the ratio of the areas of the triangles, $A BC$ and $D EF$ .

$3 : 4$

$4 : 3$

$9 : 16$

$16 : 9$

The ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Q. In two triangles ABC and DEF,∠A=∠D. The sum of the angles A and B is equal to the sum of the angles D and E. If BC=6cm and EF=8cm, find the ratio of the areas of the triangles, ABC and DEF.

3:4

4:3

9:16

16:9

The ratio of areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.

Q. In two triangles $A BC$ and $D EF, ∠ A = ∠ D$ . The sum of the angles $A$ and $B$ is equal to the sum of the angles $D$ and $E$ . If $BC = 6 c m$ and $EF = 8 c m$ , find the ratio of the areas of the triangles, $A BC$ and $D EF$ .

$3 : 4$

$4 : 3$

$9 : 16$

$16 : 9$