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Relation between Areas and Sides of Similar Triangles

In the given ...

Question

In the given figure, ∆AHK is similar to ∆ABC. If AK = 10 cm, BC = 3.5 cm and HK = 7 cm, find AC.

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Solution

Given:

AK = 10 cm

BC = 3.5 cm

HK = 7 cm

To find: AC

Since, so their corresponding sides are proportional.

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Similar questions

△ A H K

△ A B C

A K - 10 c m, B C - 3.5 c m

H K - 7 c m

A C

?

Q. In the given figure, △AHK is similar to △ABC. If AK = 10 cm, BC = 3.5 cm, and HK = 7 cm, find AC.

△ A B C

△ P Q R

A B = 2.5 c m, A C = 3.5 c m, B C = 4.0 c m, P Q = 5 c m, P R = 7 c m

Q R = 8 c m

, then find whether

△ A B C

△ P Q R

are similar or not

Q. In given figure,

P

Q

are points on the sides

A B

A C

respectively of

△ A B C

A P = 3.5 c m, P B = 7 c m, A Q = 3 c m

Q C = 6 c m

P Q = 4.5 c m

B C

.

Q. In the given figure, M, N and P are the mid-points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5 cm, find the length of BC, AB and AC respectively.

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