Question

which of the following are sides of a right triangle option is A) 4,4,8....B) 2,3 4....C) √13, 3,2.....D) √5, 3,2​

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{a)4,4,8}$

$\mathsf{b)2,3,4}$

$\mathsf{c)\sqrt{13},3,2}$

$\mathsf{d)\sqrt{5},3,2}$

$\underline{\textsf{To find:}}$

$\textsf{Which are sides of a right angled triangle}$

$\underline{\textsf{Solution:}}$

$\textsf{Converse of pythagoras theorem:}$

$\textsf{If sum of the squares of two sides of a triangle is equal to square}$

$\textsf{of the third side, then the angle contained by the sides is ight angle}$

$\mathsf{a)4^2+4^2=16+16=32{\neq}8^2}$

$\mathsf{b)2^2+3^2=4+9=13{\neq}4^2}$

$\mathsf{c)3^2+2^2=9+4=13=\sqrt{13}^2}$

$\mathsf{d)2^2+\sqrt{5}^2=4+5=9=3^2}$

$\therefore\textsf{Option (c) and (d) are sides of right angled triangles}$

Answer 2

Answer:

Step-by-step explanation:

HELLO DEAR,

Given data are A) 4,4,8.

B) 2,3,4. C)√13,3,2 D) √5,3,2.

If any traingle is right triangle wgen it follow the pythagoras theorems.

Chech it,

A) 4,4,5

5^2 = 4^2 + 4^2 its not correct.

B) 2,3,4

4^2 = 2^2 + 3^2

16 = 4 + 9

16= 13 its not true

C) √13,3,2

(√13)^2 = 3^2 + 2^2

13= 9 + 4

13= 13 so it is a right triangle.

D) √5,3,2

3^2 = (√5)^2 + 2^2

9 =5 + 4

9= 9 so its a right triangle.

Therefore option C) and D) are right triangle.

I HOPE IT HELP YOU DEAR,

THANKS.