Construct a triangle ABC in which BC = 7cm, ∠ B = 75° and AB + AC = 13 cm.

Question

Construct a triangle ABC in which BC = 7cm, &#x2220; B = 75&#xB0; and AB + AC = 13 cm.

Philoid · Accepted Answer

Steps of construction:

Step 1: Draw a line segment BC of 7cm.

Step 2: At point B, construct an angle XBY such that it is equal to 75⁰(Take the help of a contractor)

Step 3: A line segment BD = 13cm is cut on BX which is equal to (AB + AC).

Step 4: DC is joined and ∠DCY = ∠BDC is made.

Thus, ΔABC is the required triangle

Construct a triangle ABC in which BC = 7cm, ∠B = 75° and AB + AC = 13 cm.