In Fig- 7-136- - ACB - APQ- If BC - 8 -cm- -Q - 4 -cm- BA - 6-5 cm and P- 2-8 cm- find CA and AQ-

ΔACB∼ΔAPQ So, (Corresponding parts of similar triangles) ...

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Standard X

Mathematics

Similar Triangles

In Fig. 7.136...

Question

In Fig. 7.136, $Δ A C B \sim Δ A P Q$ . If BC = 8 ~cm, [Q = 4 ~cm, BA = 6.5 cm and P= 2.8 cm, find CA and AQ.

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Solution

ΔACB∼ΔAPQ
So,
$fraction numerator B C over denominator P Q end fraction equals fraction numerator C A over denominator A P end fraction equals fraction numerator B A over denominator Q A end fraction$ (Corresponding parts of similar triangles)
$8 over 4 equals fraction numerator 6.5 over denominator A Q end fraction equals fraction numerator C A over denominator 2.8 end fraction 2 space equals space fraction numerator begin display style 6.5 end style over denominator begin display style A Q end style end fraction equals fraction numerator begin display style C A end style over denominator begin display style 2.8 end style end fraction A Q space equals space 3.25 C A thin space equals space 5.6$

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Similar questions

Q. In Fig. 7.136,

Δ A C B \sim Δ A P Q

. If BC = 8 ~cm, [Q = 4 ~cm, BA = 6.5 cm and P= 2.8 cm, find CA and AQ.

In Fig. 7.178, $Δ A C B \sim Δ A P Q$ . If BC = 10 cm, PQ = 5 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ. Also, find the area $(Δ A C B)$ : area $(Δ A P Q)$ .

Q. In the given figure, ∆ACB ∼ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ.

Q. In fig

△ A C B \sim △ A P Q

. If

B C = 10 c m, P Q = 5 c m, B A = 6.5 c m

and

A P = 2.8 c m

, find

C A

and

A Q

. Also find the area

(△ A C B)

: area

(△ A P Q)

In the given figure, ∆ACB ∼ ∆APQ. If BC = 10 cm, PQ = 5 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ. Also, find the area (∆ACB) : area (∆APQ).

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In Fig. 7.136, ΔACB∼ΔAPQ. If BC = 8 ~cm, [Q = 4 ~cm, BA = 6.5 cm and P= 2.8 cm, find CA and AQ.

ΔACB∼ΔAPQ So, (Corresponding parts of similar triangles)

In Fig. 7.136, $Δ A C B \sim Δ A P Q$ . If BC = 8 ~cm, [Q = 4 ~cm, BA = 6.5 cm and P= 2.8 cm, find CA and AQ.