Question

Construct a triangle ABC in which BC = 8 cm. angle B = 75
and AB + AC = 15 cm. Write the steps of construction:​

Answer 1

Answer:

Step-by-step explanation:

(i) Draw BC = 8 cm.

(ii) Construct ∠YBC = 75°.

(iii) From ray BY, cut-off line segment BD = AB + BC = 15cm.

(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 = 15 cm

⇒  BA + AD = 15 cm

⇒  BA + BC = 15cm

Hence, △ABC is the required triangle.

Answer 2

Step-by-step explanation:

Ans is given in the photo