Home
Class 10
MATHS
In the given figure triangleACB ~ triang...

In the given figure `triangleACB ~ triangleAPQ`. If BC= 8cm , PQ = 4cm BA= 6.5 cm, AP = 2.8 cm, find CA and AQ.

Text Solution

AI Generated Solution

To solve the problem, we will use the property of similar triangles, which states that the corresponding sides of similar triangles are in proportion. ### Step-by-Step Solution: 1. **Identify the Similar Triangles**: We know that triangle ACB is similar to triangle APQ. This gives us the relationship between the sides of the triangles. 2. **Write the Proportions**: From the similarity of the triangles, we can set up the following proportions: \[ ...
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Problems From NCERT/ Exemplar|14 Videos

  • TRIANGLES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6a|24 Videos

  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revision Exercise Long Answer Questions|4 Videos

  • VOLUME AND SURFACE AREA OF SOLIDS

    NAGEEN PRAKASHAN ENGLISH|Exercise Revisions Exercise Long Answer Questions|5 Videos

Similar Questions

Explore conceptually related problems

In given figure, if angleA=angleC , AB= 6 cm, BP = 15 cm, AP = 12 cm and CP= 4 cm, then find the lengths of PD and CD.

In given figure, if angleACB=angleCDA,AC=8cm and AD=3 cm, then find BD.

In the given figure, if DE || BC, AE = 8 cm, EC = 2 cm and BC = 6 cm, then find DE

Construct a triangle ABC given that : BC = 4 . 5 cm, AB = 5 . 2 cm and CA = 3 . 8 cm

If P and Q are points on the sides AB and AC respeactively of triangleABC , if PQ||BC,l AP= 2 cm , AB = 6 cm and AC= 9 cm find AQ.

In the given figure , angle1=angle2 and angle3 = angle4 . If BC= 7.5 cm , DE= 12.5cm and area of triangle ABC= 13.5 cm^(2) . Find the area of triangleADE .

In the given figure, PQ//AB, CQ = 4.8 cm QB = 3.6 cm and AB = 6-3 cm. Find : PQ

Construct a triangle ABC such that AB = 4 . 5 cm, BC = 6 cm and CA = 4 . 8 cm

Construct a triangle ABC given that : AB = 5 cm, BC = 4 cm and CA = 6 cm

In the given figure, AB////DC, BO = 6 cm and DQ = 8 cm , find: BP xx DO .