Question

By using ruler and compasses only, construct a triangle ABC with
BC = 7.5 cm,angle B = 60° and angleA = 90°.​

Answer 1

Use Angle Sum Property to Find All Angles

Step-by-step explanation:

First of all, As per the angle sum property of triangle.

$\angle A + \angle B + \angle C = 180$

90° + 60° + $\angle C$= 180° (Given, $\angle A$ = 90° & $\angle B$ = 60°)

$\angle C$ = 180 - 150  

$\angle C$ = 30°

BC = 7.5 cm (Given)

Steps of Construction-

1.) With a measurement of 7.5 cm, draw a line segment BC.

2.) Draw an $\angle XBC$ = 60°, taking B as Center

3.) Draw an $\angle YCB$ = 30°, taking C as Center, intersecting XB at A.

ABC is required constructed triangle