Tuia fiangle is losa than the sum of the other two, ahow thatthe iangl

1.	Tuia fiangle is losa than the sum of the other two, ahow thatthe iangle in at14 If one angle of a trongle ia amatolr than
Answer» Let∠A∠B and∠C be the interior angles ofΔABC Each angle is less than the sum of the other two angles (given) Consider∠A <∠B +∠C =>∠A < 180° -∠A [∠A +∠B +∠C = 180°] => 2∠A < 180° =>∠A < 90° So∠A is an acute angle ΔABC is an acute angled triangle.

Tuia fiangle is losa than the sum of the other two, ahow thatthe iangle in at14 If one angle of a trongle ia amatolr than

Answer»

Let∠A∠B and∠C be the interior angles ofΔABC

Each angle is less than the sum of the other two angles (given)

Consider∠A <∠B +∠C

=>∠A < 180° -∠A [∠A +∠B +∠C = 180°]

=> 2∠A < 180°

=>∠A < 90°

So∠A is an acute angle

ΔABC is an acute angled triangle.