Write True or False in each of the following. Give reasons for your answer:
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
False
Explanation:
Given, AB + BC + AC = 10 cm
∠B = 105° and ∠C = 90°
We know that the sum of angles of a triangle is 180°.
But ∠B + ∠C = 105° + 90° = 195° > 180° which is not possible.