Q1.    Construct a triangle ABC in which $BC = 7cm$, $\angle B = 75\degree$ and $AB + AC = 13 cm$.

D Divya Prakash Singh

The steps of construction are as follows:

Step 1: Draw a line segment BC of 7cm length. Taking the help of protractor make an $\angle XBC = 75^{\circ}$.

Step 2: Now, cut a line segment BD having 13 cm on BX which is $(AB+AC).$

Step 3: Now, join CD.

Step 4: Draw a perpendicular bisector of CD to intersect BD at a point A. Join AC. Then ABC is the required triangle

Hence, the required triangle is ABC.

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