In the given figure, ∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4 cm and DE = 7.8 cm. Find the ratio between areas of the △ABC and △DEC.

Given, ⇒ ∠ACD = ∠BCE ⇒ ∠ACD + ∠BCD = ∠BCE + ∠BCD ⇒ ∠ACB = ∠DCE Also, ∠B = ∠E ∴ △ABC ~ △DEC [By AA] We know that, The ratio of the areas of two similar triangles is equal to the ratio of squares of their corresponding sides. Hence, ratio between areas of the △ABC and △DEC = 16 : 9.

In the given figure, BC is parallel to DE. Area of triangle ABC = 25 cm², Area of trapezium BCED = 24 cm² and DE = 14 cm. Calculate the length of BC.
Also, find the area of triangle BCD.

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Triangles ABC and A'B'C' are similar to each other, the corresponding vertices of the two triangles are :
A and B'
C and A'
B and B'
C' and A

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Triangles ABC and RSP are similar to each other, the corresponding sides of the two triangles are :
AB and RS
BC and RP
AC and SP
AB and RP

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Mathematics

In the given figure,
∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4 cm and DE = 7.8 cm. Find the ratio between areas of the △ABC and △DEC.

Similarity

Related Questions

In the given figure, BC is parallel to DE. Area of triangle ABC = 25 cm², Area of trapezium BCED = 24 cm² and DE = 14 cm. Calculate the length of BC.
Also, find the area of triangle BCD.

Triangles ABC and A'B'C' are similar to each other, the corresponding vertices of the two triangles are :
A and B'
C and A'
B and B'
C' and A

Triangles ABC and RSP are similar to each other, the corresponding sides of the two triangles are :
AB and RS
BC and RP
AC and SP
AB and RP

Mathematics

In the given figure,∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4 cm and DE = 7.8 cm. Find the ratio between areas of the △ABC and △DEC.

Similarity

Related Questions

In the given figure, BC is parallel to DE. Area of triangle ABC = 25 cm2, Area of trapezium BCED = 24 cm2 and DE = 14 cm. Calculate the length of BC.Also, find the area of triangle BCD.

Triangles ABC and A'B'C' are similar to each other, the corresponding vertices of the two triangles are :A and B'C and A'B and B'C' and A

Triangles ABC and RSP are similar to each other, the corresponding sides of the two triangles are :AB and RSBC and RPAC and SPAB and RP

In the given figure,
∠B = ∠E, ∠ACD = ∠BCE, AB = 10.4 cm and DE = 7.8 cm. Find the ratio between areas of the △ABC and △DEC.

In the given figure, BC is parallel to DE. Area of triangle ABC = 25 cm², Area of trapezium BCED = 24 cm² and DE = 14 cm. Calculate the length of BC.
Also, find the area of triangle BCD.

Triangles ABC and A'B'C' are similar to each other, the corresponding vertices of the two triangles are :
A and B'
C and A'
B and B'
C' and A

Triangles ABC and RSP are similar to each other, the corresponding sides of the two triangles are :
AB and RS
BC and RP
AC and SP
AB and RP