## Maharashtra State Board Class 7 Maths Solutions Chapter 1 Geometrical Constructions Practice Set 5

Construct triangles of the measures given below:

Question 1.

In ∆MAN, m∠MAN = 90°, l(AN) = 8 cm, l(MN) = 10 cm.

Solution:

Question 2.

In the right-angled ∆STU, hypotenuse SU = 5cm and l(ST) = 4cm.

Solution:

Question 3.

In ∆ABC, l(AC) = 7.5 cm, m∠ABC = 90°, l(BC) = 5.5cm.

Solution:

Question 4.

In ∆PQR, l(PQ) = 4.5 cm, l(PR) = 11.7cm, m∠PQR = 90°.

Solution:

Question 5.

Students should take examples of their own and practice construction of triangles.

i. In ∆PQR, l(PQ) = 5 cm, l(QR) = 6.8 cm, l(PR) = 5.5 cm.

ii. In ∆XYZ, l(XY) = 5.7 cm, m∠Y = 120°, l(YZ) = 7 cm.

iii. In ∆RST, l(ST) = 6.7 cm, m∠S = 60°, m∠T = 40°.

iv. In ∆UVW, m∠U = 90°, l(UV) = 5 cm, l(VW) = 6 cm.

Solution:

i. In ∆PQR, l(PQ) = 5 cm, l(QR) = 6.8 cm, l(PR) = 5.5 cm.

ii. In ∆XYZ, l(XY) = 5.7 cm, m∠Y = 120°, l(YZ) = 7 cm.

iii. In ∆RST, l(ST) = 6.7 cm, m∠S = 60°, m∠T = 40°.

iv. In ∆UVW, m∠U = 90°, l(UV) = 5 cm, l(VW) = 6 cm.