Question

The sum of squares of the length of three sides of a right angled triangle is 800. Find the length of Hypotenuse

Answer 1

Answer:

20

Step-by-step explanation:

$a {}^{2} + b {}^{2} + c {}^{2} = 800 \\ = > a {}^{2} + b {}^{2} = 800 - c {}^{2} \\ \\ 800 - {c}^{2} = {c}^{2} \\= > 2 {c}^{2} = 800 \\ = > {c} = 20$

ASSUMING C AS HYPOTENUS

Answer 2

Answer:

+b

2

+c

2

=800

=>a

2

+b

2

=800−c

2

800−c

2

=c

2

=>2c

2

=800

=>c=20

= 20