Construct the triangles with given measures. ∆MNP: l(MP) = 6.2 cm, l(NP) = 4.5 cm, m∠P = 75°.

Question

Construction of a triangle: 

Construct the triangles with given measures.

∆MNP: l(MP) = 6.2 cm, l(NP) = 4.5 cm, m∠P = 75°.

Answer 1

Steps of construction:

Step 1 : As shown in the rough figure, draw seg PN of length 4.5 cm as the base.

Step 2 : Placing the centre of the protractor at point P, mark point Q such that m∠QPN = 75°.

Step 3 : By taking a distance of 6.2 cm on the compass and placing the metal tip at point P, draw an arc on ray PQ. Name the point as M.

Step 4 : Draw seg MN to get the triangle. ∆MNP is the required triangle.