Question

MEDAL
What is the length, in units, of the hypotenuse of a right triangle if each of the two legs is 3 units?

Square root of 18 units
Square root of 27 units
3 units
6 units

Answer 1

3^2 x 3^2 = 81

Answer 2

@mathmate @Mehek14

Answer 3

By Pythagorus theorem , the answer is sqrt( 3^2+3^2)= sqrt 18

Answer 4

oops i accidentally did multiplication

Answer 5

its ok. :)

Answer 6

Ok so lets draw this

Answer 7

So use the pythagorean formula \[a^2 +b^2 + c^2\] for the following

Answer 8

a = 3
b = 3
c = ?

Answer 9

Plug into the pythagorean Theorem:
\[(3)^2+(3)^2 = c^2\]

Answer 10

equals

Answer 11

\[9+9 = c^2\]

Answer 12

equals

Answer 13

\[18 = c^2\]

Answer 14

To isolate c, find the square root of both sides

Answer 15

\[\sqrt{18}= \sqrt{c^2}\]

Answer 16

So...

Answer 17

\[c = \sqrt{18}\]
or simplified
\[c = 3\sqrt{2}\]

Answer 18

thanks

Answer 19

Sorry it was so fast, but I am in school and I have to go to my next class.
I hoped this helped.
Any more questions, just message me and I will get to it ASAP