Advertisement Remove all ads

In figure, ∆ACB ~ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm, AP = 2.8 cm, find CA and AQ. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Definition
Sum

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

In the following figure, ΔACB ~ ΔAPQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm, find CA and AQ.

Advertisement Remove all ads

Solution

We have, ∆ACB ~ ∆APQ

`\Rightarrow \frac{AC}{AP}=\frac{CB}{PQ}=\frac{AB}{AQ} `

`\Rightarrow \frac{AC}{AP}=\frac{CB}{PQ}\text{ and }\frac{CB}{PQ}=\frac{AB}{AQ}`

`\Rightarrow \frac{AC}{2.8}=\frac{8}{4}\text{ and }\frac{8}{4}=\frac{6.5}{AQ} `

`\Rightarrow \frac{AC}{2.8}=2\text{ and }\frac{6.5}{AQ}=2`

AC = (2 × 2.8) cm = 5.6 cm and `AQ=\frac{6.5}{2}cm=3.25cm`

Concept: Similarity
  Is there an error in this question or solution?

APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.5 | Q 1 | Page 73

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×