Question

in a right triangle abc length of the medians to the sides ab and bc are 2√61 and √601 respectively. find the length of it's hypotenuse​

Answer 1

Given:

a

=

3

,

c

=

5

Which side is the hypotenuse?

AC

=

c

=

5

✩ Always identify the hypotenuse first

Unknown side

=

B

C

=

b

?

Putting the values in the Pythagoras Formula:

a

2

+

b

2

=

c

2

3

2

+

b

2

=

5

2

9

+

b

2

=

25

b

2

=

25

–

9

=

16

=

4

2

b

=

4