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, nbsp; nbsp; nbsp;(Corresponding parts of similar triangles)

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VII

Mathematics

Congruent 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.

Open in App

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)
$8 over 4 equals fraction numerator 6.5 over denominator A Q end fraction equals fraction numerator C A over denominator 2.8 end fraction 2 space equals space fraction numerator begin display style 6.5 end style over denominator begin display style A Q end style end fraction equals fraction numerator begin display style C A end style over denominator begin display style 2.8 end style end fraction A Q space equals space 3.25 C A thin space equals space 5.6$

Suggest Corrections

Similar questions

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.

Q. In given figure,

△ A C B \sim △ A P Q

. If BC=8 cm, PQ=4 cm, BA=6.5 cm, AP=2.8 cm, find CA and AQ.

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 the given figure,

△

ACB

\sim

△

APQ. IfBC = 8 cm, PQ = 4 cm, ba = 6.5 cm and AP = 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 $(Δ A P Q)$ .

Join BYJU'S Learning Program

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.