**Chapter 1 Geometrical Constructions 1.5**

Construct triangles of the measures given below:

Question 1.

In âˆ†MAN, mâˆ MAN = 90Â°, l(AN) = 8 cm, l(MN) = 10 cm.

Solution:

Question 2.

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

Solution:

Question 3.

In âˆ†ABC, l(AC) = 7.5 cm, mâˆ ABC = 90Â°, l(BC) = 5.5cm.

Solution:

Question 4.

In âˆ†PQR, l(PQ) = 4.5 cm, l(PR) = 11.7cm, mâˆ PQR = 90Â°.

Solution:

Question 5.

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

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

ii. In âˆ†XYZ, l(XY) = 5.7 cm, mâˆ Y = 120Â°, l(YZ) = 7 cm.

iii. In âˆ†RST, l(ST) = 6.7 cm, mâˆ S = 60Â°, mâˆ T = 40Â°.

iv. In âˆ†UVW, mâˆ U = 90Â°, l(UV) = 5 cm, l(VW) = 6 cm.

Solution:

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

ii. In âˆ†XYZ, l(XY) = 5.7 cm, mâˆ Y = 120Â°, l(YZ) = 7 cm.

iii. In âˆ†RST, l(ST) = 6.7 cm, mâˆ S = 60Â°, mâˆ T = 40Â°.

iv. In âˆ†UVW, mâˆ U = 90Â°, l(UV) = 5 cm, l(VW) = 6 cm.