# Write True or False. Give reasons for your answer:            A triangle ABC can be constructed in which $\angle B = 105^{\circ}, \angle C = 90^{\circ}$ and AB + BC + AC = 10 cm.

False

Solution

Given : $\angle B = 105^{\circ}, \angle C = 90^{\circ}$ , AB + BC + AC = 10 cm.

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

But here $\angle B+\angle C= 105^{\circ}+90^{\circ}=195^{\circ}$

The sum of two angles is greater than $195^{\circ}$ which is not possible.

Hence, this type of triangle can’t be constructed.

Therefore the given statement is False.

### Preparation Products

##### Knockout JEE Main April 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout NEET Aug 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
##### Knockout JEE Main May 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
##### Knockout NEET Aug 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Mentorship from our Experts, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-