Question

Q3
The sides of different triangles are given. Find which of the following triangle is a right-angled triangle.
Ops: A.
B.
C.
D.
O 30 cm, 40 cm, 45 cm
30 cm, 25 cm, 45 cm
O 30 cm, 60 cm, 80 cm
O 70 cm, 240 cm, 250 cm​

Answer 1

Answer:

ops :c is the answer.

hope it will help you

Answer 2

The required triangle has three sides 70 cm, 240 cm, 250 cm.

Option D. 70 cm, 240 cm, 250 cm

Concept to be used:

By Pythagorean theorem, we can say that a triangle ABC is right-angled, when

a² + b² = c², where a is vertical, b is base and c is hypotenuse.

Step-by-step explanation:

Option A. 30 cm, 40 cm, 45 cm

Using Pythagorean theorem, we can write

30² + 40²

= 900 + 1600

= 2500

= 50²

≠ 45²

So, this is not a right-angled triangle.

Option B. 30 cm, 25 cm; 45 cm

Using Pythagorean theorem, we can write

30² + 25²

= 900 + 625

= 1525

= (39.05)²

≠ 45²

So, this is not a right-angled triangle.

Option C. 30 cm, 60 cm, 80 cm

Using Pythagorean theorem, we can write

30² + 60²

= 900 + 3600

= 4500

= (67.08)²

≠ 80²

So, this is not a right-angled triangle.

Option D. 70 cm, 240 cm, 250 cm

Using Pythagorean theorem, we can write

70² + 240²

= 4900 + 57600

= 62500

= 250²

So, this is a right-angled triangle.

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