Question

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

A: 5cm
B. 7cm
C. 10cm
D. 4cm

Answer 1

Answer: C. 10 cm

Explanation:

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

Answer 2

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