Question

The sides of a triangle are 9 cm, 12 cm, and 15 cm. Verify that it is a right-angled triangle.how to

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{AnSwEr :}}}}}$

$\small{\underline{\blue{\sf{Given :}}}}$

• Sides of a triangle are 9 cm, 12 cm, 15 cm

$\rule{200}{1}$

$\small{\underline{\green{\sf{Solution :}}}}$

As we know that In a right angled triangle, Longest side is Hypotenuse And Perpendicular and Bases are other remaining sides.

So, If it would be a right angles triangle so it should follow

Hypotenuse Theorem,

We have to Prove

That (15)² = (12)² + (9)²

So,

$\small\star {\boxed{\sf{(Hypotenuse)^2 \: = \: (Base)^2 \: + \: (Perpendicular)^2}}} \\ \\ \small{\underline{\pink{\sf{\: \: \: \: \: \: \: \: \: \: Put \: Values \: \: \: \: \: \: \: \: \: \:}}}} \\ \\ \implies {\sf{(15)^2 \: = \: (9)^2 \: + \: (12)^2}} \\ \\ \implies {\sf{225 \: = \: 81 \: + \: 144}} \\ \\ \implies {\sf{225 \: = \: 225}}$

Hence This is a Right Angled Triangle

Answer 2

Answer:

hypotenuse 2 =sides1 2 +side2 3