Question

please answer me fast as you can do​

Answer 1

Given :

• A right angled traingle ABC .

To Prove :

• AC is the largest .

Solution :

Let ABC is a right angled triangle in which ∠B = 90° . Now , we have to prove that AC is largest .

A.T.Q :

$\longmapsto\tt{\angle{A}+\angle{B}+\angle{C}=180^{\circ}}$

$\longmapsto\tt{\angle{A}+90^{\circ}+\angle{C}=180^{\circ}}$

$\longmapsto\tt{\angle{A}+\angle{C}=180^{\circ}-90^{\circ}}$

$\longmapsto\tt\bf{\angle{A}+\angle{C}=90^{\circ}}$

Now ,

As we know that the side opposite to the greater angle is larger/longer . So ,

$\longmapsto\tt{\angle{A}<90^{\circ}\:and\:\angle{C}<90^{\circ}}$

$\longmapsto\tt\bf{BC<AC\:and\:AB<AC}$

AC is Largest ..

HENCW PROVED