Question

5. Construct a ∠PQR whose perimeter is 12 cm and the lengths of whose sides
are in the ratio 2 : 3 : 4.
can someone pls help

Answer 1

Answer:

Steps of construction

1. Draw a line segment and locate points X,Y such that XY=12cm.

2. Draw a ray XZ, making an acute angle with XY and drawn in the down-ward direction.

3. From X, locate (2+3+4)=9 points at equal distances along XZ.

4. Mark point L,M,N on XZ such that XL=2 parts, LM=3 parts and MN=4 parts.

5. Join NY. Through L and M, draw LB∥NY and MC∥NY, intersecting XY in B and C respectively.

6. With B as center and BX as radius, draw an arc; with C as a centre and CY as radius, draw an arc cutting the previous arc at A.

7. Join AB and AC.

Then ABC is the required triangle