Question

Which of the following lists of side lengths represents a right triangle?

A. 7, 24, 25

B. 3, 6, 9

C. 5, 12, 14

D. 15, 16, 17

Answer 1

7,24,25

Explanation:

Use Pythagorean theorem

`\\ \sf\longmapsto H^2=P^2+B^2`

`\\ \sf\longmapsto 25^2=24^2+7^2`

`\\ \sf\longmapsto 625=576+49`

`\\ \sf\longmapsto 625=625`

`\\ \sf\longmapsto verified`

Answer 2

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

The side lengths of Triangle representing a right angled Triangle is :

• 
  `7,24,25`

because , Pythagoras theorem is true for given Side lengths,

that is :

• 
  `{7}^(2) + 24 {}^(2) = 25 {}^(2)`