Q. 55.0( 3 Votes )

# 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.

Answer :

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.

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