Question

The sides of a triangle are of length 6cm,4.5cm,7.5cm.it is a right triangle ? If yes ,then find the measure of hypotense

Answer 1

Answer:

Yes, it is a right angled triangle and its hypotenuse is 7.5 cm.

The formula of checking a right angled triangle is AB²+ BC² = AC²

where AC is the hypotenuse.

Here, hypotenuse is AC.

• (6)²+(4.5)²=AC²
• 36+20.25=AC²
• 56.25=AC²
• $\sqrt{56.25 }$
• 7.5=AC²

L.H.S=R.H.S

Hence, ABC is the right angled triangle.

Answer 2

Answer:

Yes, it is a right angled triangle and its hypotenuse is 7.5 cm.

The formula of checking a right angled triangle is AB²+ BC² = AC²

where AC is the hypotenuse.

Here, hypotenuse is AC.

(6)²+(4.5)²=AC²

36+20.25=AC²

56.25=AC²

7.5=AC²

L.H.S=R.H.S

Hence, ABC is the right angled triangle.

Step-by-step explanation: