Question

construction of angle ABC such that AB is equal to 4 cm BC is equal to 7.5 cm and ac is equal to 8.4 centimetre measure angle b ​

Answer 1

Step-by-step explanation:

(1) Construct BC = 6 cm

(2) Construct an angle of 60° at B on BC.

(3) Taking B as centre, with 9 cm radius, draw an arc , which cuts the ray of 60° angle, at X

(4) Join X & C

(5) Then draw perpendicular bisector of XC

(6) Wherever this perpendicular bisector intersects BX, name that point as A.

(7) Join A & C

So, tri ABC will be the required triangle.

Justification:

Since AC = AX ( as point ‘A’on perpendicular bisector remains equidistant from X & C )

But AX + AB = 9cm ( we constructed)

=> AC + AB = 9 cm