In ∠ABC shown below, the length of AB is 6 centimetres and the length of AC is 5 centimetres. The length of AP is 4 centimetres. The line PQ is parallel to BC.

Find the lengths of AQ and QC.

Open in App

Solution

Given: AB = 6 cm, AC = 5 cm, AP = 4 cm

Also, PQ is parallel to BC.

Let the length of AQ be x cm.

We know that in a triangle, a line parallel to one side divides the other two sides in the same ratio.

Suggest Corrections

Similar questions

In the figure below, ABC is a right angled triangle. AB = 10 centimetres and AC = 6 centimetres. The midpoint of AB is M.

Compute the lengths of the sides of ΔMBN.

Can’t you draw, trapeziums with the measurements given below?

(i) Parallel sides of length 7.5 centimetres and 5 centimetres; other two sides of length 6 centimetres and 5.5 centimetres.

(ii) Parallel sides of length 8 centimetres and 5.5 centimetres; angles on the longer side, 55° and 70°.

Two sides of a parallelogram are of length 6 centimetres and 4 centimetres and the angle between them is 35°. What are the lengths of its diagonals?

A B = 28

B C = 45

A C

Compute the volume and surface area of rectangular prisms of measurements given below:

(i) length 24 centimetres, breadth 15 centimetres, height 32 centimetres

(ii) length 42.5 centimetres, breadth 25 centimetres, height 86 centimetres

(iii) length 37 centimetres, breadth 23 centimetres, height 58 centimetres

Join BYJU'S Learning Program