Question

7. The sides of a triangle are 40, 20, 30. Check whether it forms a right angled
triangle?​

Answer 1

Answer:

no 20,30,40 doesn't make a right angled triangle.

Step-by-step explanation:

the condition for right angled triangle is

$sq.of \: biggest \: side \: = sum \: of \: squares \: of \: other \: two \: sides$

$but \\ {40}^{2} is \: not = {30}^{2} + {20}^{2}$

$1600 \: is \: not \: = 1300$

then they does not make a right angled triangle.

Answer 2

Answer:

No, the given triangle is not a right triangle.

Explanation:

Given :

A triangle in which:

• 1st side = 40
• 2nd side = 20
• 3rd side = 30

To check:

Whether the given triangle is a right triangle, i.e. whether it forms Pythagorean triplet.

Proof:

Let the triangle = Δ ABC

As hypotenuse is the longest side, hypotenuse must be = 40,

Let AC = 40, AB = 30 & BC = 20

Now, we need to find whether:

(AC )² = ( AB ) ² + ( BC )²

• LHS

= (AC)²

= (40)² = 1600

• RHS

= (AB)² + (BC)²

= (30)² + (20)²

= 900 + 400

= 1300 ≠ LHS

As LHS ≠ RHS, hence the given triangle is not a right triangle.

Proved.

Hope you understood.

Thank You..