Construction of Triangle Whose Perimeter and Ratio of the Sides Are Given

Q.

Construct a triangle whose perimeter is 12 cm and the ratio of their sides is 3:4:5.

Q.

Construct a triangle PQR, whose perimeter is 14 cm and whose sides are in the ratio 2:4:5.

Q.

Construct a triangle ABC, whose perimeter is 13 cm and whose sides are in the ratio 3:4:5.

Q. Construction of triangle ABC where perimeter =12cm and ratio of sides is 2:3:4 are given, is given below.

Relation between AB and BX is :

1. $AB>BX$
2. $AB<BX$
3. $AB=BX$
4. $AB+BX=12cm$

Q.

Construct a triangle ABC in which AB = 6.5 cm, ∠A = 45° and ∠B = 60°.

Q.

Construct a triangle PQR whose perimeter is 15 cm and whose sides are in the ratio 3:4:6.

Q.

➡️The lengths of the sides of a 🔺^le are in the ratio 4:5:3 it's perimeter is 96cm. Find it's area.

Q.

Construct a triangle PQR, whose perimeter is 13 cm and whose sides are in the ratio 2:3:4.

Q.

Construct an isosceles triangle whose altitude is 5 cm and vertex angle is 90°.

Q.

Construct a triangle MNP, whose perimeter is 15 cm and whose sides are in the ratio 2:3:4.

Q.

Construct triangle ABC in which BC = 5 cm, AB − AC = 2.8 cm and ∠B = 40°.

Q.

Construct a triangle LMN in which LM = 7.8 cm, MN = 6.3 cm and ∠LMN = 45°.

Q.

The area of a triangular kite with perimeter 80 cm and sides in ratio 3 : 3 : 4 is

1. 

2. 

3. 

4. 

Q. Steps for the construction of a triangle ABC whose perimeter is 12cm and ratio of the sides is 2:3:4 is given below. Choose the correct order.
1.Mark point L, M, N on XZ such that XL=2cm, LM= 3 parts and MN= 4 parts
2.Join NY. Through L and M draw LB||NY and MC||NY , intersecting XY in B and C respectively.
3.Draw a line segment and locate points X and Y such that XY=12cm
4.Draw a ray XZ makes an acute angle XY and drawn in the downward direction
5.With B as centre and BX as radius draw an arc ; with C as centre CY as radius , draw an arc cutting the previous arc at A. Join AB and AC
6.From X, locate (2+3+4) =9 points at equal distance along XZ.

1. 1, 2, 3, 4, 5, 6
2. 3, 2, 4, 1, 6, 5
3. 3, 4, 6, 1, 2, 5
4. 3, 4, 6, 5, 2, 1

Q.

Construct a triangle PQR in which QR = 4.8 cm, ∠Q = 45° and ∠R = 55°.

Q.

Construct a triangle MNP in which MN = 4.5 cm, MP = 5.2 cm and length of perpendicular from M on NP is 3.8 cm.

Q.

Construct a triangle ABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.

Q. We can construct a triangle, if its perimeter and altitude are given.

1. True
2. False

Q.

Construct a triangle XYZ in which YZ = 4.5 cm, ∠Y = 60° and sum of other two sides is 7.5 cm. (Optional)

Q. No. of the points at equal distance required to mark on the acute angled line for the construction of triangle when perimeter is 12cm and ratio of the sides 2:3:4 is equal to:

1. 4
2. 9
3. 12
4. 6

Q. How much will it cost to have a triangular field weeded at the rate of Rs 2 per square metre if the length of the field's sides are 11 m, 61 m and 60 m?

Q. Steps for the construction of a triangle ABC whose perimeter is 12cm and ratio of the sides is 2:3:4 is given below. Choose the correct order.
1.Mark point L, M, N on XZ such that XL=2cm, LM= 3 parts and MN= 4 parts
2.Join NY. Through L and M draw LB||NY and MC||NY , intersecting XY in B and C respectively.
3.Draw a line segment and locate points X and Y such that XY=12cm
4.Draw a ray XZ makes an acute angle XY and drawn in the downward direction
5.With B as centre and BX as radius draw an arc ; with C as centre CY as radius , draw an arc cutting the previous arc at A. Join AB and AC
6.From X, locate (2+3+4) =9 points at equal distance along XZ.

1. 3, 4, 6, 5, 2, 1
2. 1, 2, 3, 4, 5, 6
3. 3, 2, 4, 1, 6, 5
4. 3, 4, 6, 1, 2, 5

Q. It is possible to construct a triangle if its perimeter is 12 cm and ratio of the sides is :

1. 1:4:7
2. 3:4:5
3. 1:2:9
4. 2:3:7