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Question
A triangle ABC can be constructed in which ∠B = 105°, ∠C = 90° and AB + BC + AC = 10 cm.
Options
True
False
Solution
This statement is False.
Explanation:
Here, ∠B = 105°, ∠C = 90°
And AB + BC + CA = 10 cm
We know that, sum of angles of a triangle is 180°.
∠A + ∠B + ∠C = 180°
Here, ∠B + ∠C = 105° + 90°
= 195° > 180° which is not true.
Thus, ΔABC with given conditions cannot be constructed.
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