Write True or False in each of the following. Give reasons for your answer:
A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.

Question

Write True or False in each of the following. Give reasons for your answer: A triangle ABC can be constructed in which ∠ B = 60°, ∠ C = 45° and AB + BC + AC = 12 cm.

Philoid · Accepted Answer

True

Explanation:

Given, AB + BC + AC = 12 cm

∠B = 60° and ∠C = 45°

We know that the sum of angles of a triangle is 180°.

But ∠B + ∠C = 60° + 45° = 105° < 180° which is possible.

Write True or False in each of the following. Give reasons for your answer:A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.

Write True or False in each of the following. Give reasons for your answer:
A triangle ABC can be constructed in which ∠B = 60°, ∠C = 45° and AB + BC + AC = 12 cm.