Question

Do the sides 7 cm, 24cm, 25cm form a Right angled triangle? If so, write

the length of the Hypotenuse​

Answer 1

Answer:

Yes,it will form right angled triangle

As we know,

hypotenuse is the longest leg of the triangle so,the length of hypotenuse is 25cm..

Mark me as brainliest.....

Answer 2

Answer:

It is right angled triangle

Hypotenuse = 25 cm

Step-by-step explanation:

We know about the Pythagoras theorem,

It states that, In a right triangle, The Sum of the Squares of the shorter sides will be equal to the Square of the longest side.

That is,

a² + b² = c²

Now, there is a converse to this theorem,

A Converse is a statement that is proved to be true when the conditions are reversed.

That is,

Converse of Pythagoras theorem states that, if the Sum of the Square of the shorter sides add upto the Square of the longest side, then the triangle is a right triangle.

A Converse can't exist for all theorem, but most of them have Converse. These are not assumed, we reach the Converse only through proof.

So, back to our Original Question,

Now,

According to the Converse of Pythagoras theorem,

If 7² + 24² = 25²

Then, that triangle is a right triangle.

So, let's see if its correct,

LHS = 7² + 24²

= 49 + 576

= 625

RHS = 25²

= 625

Thus,

LHS = RHS

∴ 7² + 24² = 25²

Hence,

7, 24, 25 forms a right angled triangle.

Now,

Hypotenuse is longest side of a triangle.

Hence,

Hypotenuse = 25 cm

Hope it helped and believing you understood it........All the best