Question

which among the following can be the side lengths of a right- angled triangle?
a.5cm, 12 cm,13 cm
b.7cm,24cm,25cm
c.8cm, 13cm, 17cm
d.9cm,12cm, 15cm
e.12cm,15cm,18cm​

Answer 1

Step-by-step explanation:

apply the Pythagoras Theoram here by means of that

9^2 + 12^2 = 15^2

thus 81 + 144 = 225

and √225 = 15

thus option C is the correct option

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Answer 2

Answer:

a and b are right-angled triangles.

Step-by-step explanation:

For the triangle to be right-angled, the 3 numbers must satisfy the Pythagoras Theorem

a 13^2 = 12^2 + 5^2

169 = 144 + 25 = 169

- so right angled.

b. 25^2 = 625

24^2 + 7^2 = 625

- so right-angled.

c. 17^2 = 289

13^2 + 8^2 = 233

- so NOT right-angled

d. . 55^2 = 225

9^2 + 13^2 = 250

- so NOT  right-angled.

e. 18^2 = 324

12^2 + 15^2 = 369

- so NOT right-angled.