Question

EXERCISE 11.2
Construct a triangle ABC in which BC=7cm. ZB = 75° and AB +AC = 13 cm.
Construct a triangle ABC in whic​

Answer 1

Answer:

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

Answer 2

(i) Draw BC = 7 cm.

(ii) Construct ∠YBC = 75°.

(iii) From ray BY, cut-off line segment BD = AB + BC = 13cm.

(iv) Join CD.

(v) Draw the perpendicular bisector of CD meeting BY at A.

(vi) Join AC to obtain the required triangle ABC.

Justification

Since A lies on the perpendicular bisector of CD.

∴ AC = AD

Now BD = 13 cm

⇒ BA + AD = 13 cm

⇒ BA + BC = 13cm

Hence, △ABC is the required triangle.

hope it helps you mate