Question

2) aletermine whether the triangle
whose lengths.of sides are I5cmg
20cm and 25cm visva right-
rangled triangles​

Answer 1

Question :-

Determine whether the triangle whose lengths of sides are 15 cm, 20 cm and 25 cm is a right angled triangle or not.

Answer :-

To check whether the triangle is right angled triangle, we can check that sum of squares of two smaller side must be equal to square of third side.

For the following triangle -

➩ $\sf (15)^2 + (20)^2 = (25)^2$

➩ $\sf 225 + 400 = 625$

➩ $\sf 625 = 625$

Here, we can see that sum of square of two sides is equal to the square of third side.

Hence, the triangle is right angled triangle.

Answer 2

${ \bf{ \underbrace{Correct \: question :}}}$

Determine whether the triangle whose lengths of sides are I5cm, 20cm and 25cm is a right- angled triangles ?

${ \bf{ \underbrace{Given :}}}$

• Triangle lengths are I5cm, 20cm and 25cm.

${ \bf{ \underbrace{To \: Find :}}}$

• This triangle is right angled triangle ?

${ \bf{ \underbrace{Required \: Solution :}}}$

◆ checking by Pythagoras theorem,

↦ (Hypotenuse)² = (Base)² + (perpendicular)²

↦ (25)² = (15)² + (20)²

↦ 625 = 225 + 400

↦ 625 = 625

↦ Since, LHS = RHS

↦ Pythagoras theorem is satisfied.

■ Hence,I5cm, 20cm and 25cm form sides of a right angled triangle.