Question

. Sides of triangles are
ti) 3 cm, 4 cm, 6 cm (i) 4 cm, 5 cm, 6 cm
(iii) 7 cm, 24 cm, 25 cm (iv) 5 cm, 12 cm, 14 cm
Which of these is right triangle?
(a) (i) (b) (ii) (C) (iii) (d) (iv)​

Answer 1

Answer:

(iii) 7 cm, 24 cm, 25 cm

as

7²+24² = 25²

Answer 2

Answer:

Triangle with side 7 cm, 24 cm, 25 cm form right triangle.

Step-by-step explanation:

Given: Sides of triangles as: (i)  3 cm, 4 cm, 6 cm (i) 4 cm, 5 cm, 6 cm

(iii) 7 cm, 24 cm, 25 cm (iv) 5 cm, 12 cm, 14 cm.

To determine the sides of the right triangle.

We know that the right triangle always satisfies the Pythagoras theorem.

Pythagoras theorem: (Hypotenuse)^2= (Perpendicular)^2+(base)^2

Here, the triangle with side lengths 7 cm, 24 cm, 25 cm form right triangle as:

$25^{2}=7^{2}+24^{2}$

$625=49+576\\625=625$

Hence, option C is correct.

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