Question

Find the hypotenuse of a right triangle given the sides 8cm and 6cm

Answer 1

To solve this you must use Pythagorean theorem:

$a^{2} +b^{2} =c^{2}$

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = 8 cm

b = 6 cm

c = x

^^^Plug these numbers into the theorem

$8^{2} +6^{2} =x^{2}$

simplify

64 + 36 = $x^{2}$

100 = $x^{2}$

To remove the square from x take the square root of both sides to get you...

√100 = x  

Which is when simplified:

(choice C)

10 cm  

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer 2

Answer: C. 10 cm

Step-by-step explanation:

the hypotenuse of a right triangle will always be longer than the other 2 sides.  So 10 cm