Question

Can we construct a triangle ABC with AB+BC+AC = 10 cm, ∠B = 105° and ∠C = 85°?

Justify.

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Answer 1

Answer:

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Step-by-step 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.

Answer 2

heya sis

In any triangle sum of all angles = 180°

∠A + ∠B + ∠C = 180°

=> ∠A + 105° + 90° = 180°

=> ∠A = - 15°

Angle in triangle can not be - ve

Hence its not possible to construct triangle

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