Question

please help thank you!

Answer 1

EXPLANATION.

Sides of the triangle are 17cm, 15cm, 8cm.

As we know that,

Hypotenuse > Base > Perpendicular.

Pythagoras Theorem.

⇒ H² = P² + B².

Put the value in the Equation, we get.

⇒ (17)² = (8)² + (15)².

⇒ 289 = 64 + 225.

⇒ 289 = 289.

In right angled triangle Hypotenuse is always equal to sum of other two sides.

⇒ L.H.S = R.H.S.

Hence proved.

Answer 2

Answer:

Yes , They form a right angled triangle

Step-by-step explanation:

Given :-

8 units , 15 units and 17 units

To find:-

Do the sides of this triangle form a right angled triangle? How do you know ? Explain?

Solution:-

Given that

The three sides of the triangle = 8 units , 15 units and 17 units

We know that

Any three sides form a right angled triangle if they satisfies the Pythagoras theorem.

Pythagoras theorem:-

In a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Now

square of 8 units = 8^2 = 8×8 = 64

square of 15 units = 15^2=15×15 = 225

Square of 17 units = 17^2 = 17×17 = 289

We have

8^2+15^2

=> 64+225

=> 289

=> 17^2

8^2+15^2 = 17^2

So, The given sides satisfies the Pythagoras Theorem so they form a right angled triangle.

Where 17 units is the length of the hypotenuse.

Answer:-

The given lengths of the sides forms a right angled triangle.

Used formulae:-

Pythagoras Theorem:-

• In a right angled triangle,the square of the hypotenuse is equal to the sum of the squares of the other two sides.