Question

Find the length of the hypotenuse of a right triangle whose legs are 8 and 15 units in length.

Answer 1

Try using the Pythagorean theorem.

Answer 2

Use Pyth Thm
\[hypotenuse = \sqrt{8^2+15^2} = ...?\]

Answer 3

\( \color{Black}{\Rightarrow a^2 + b^2 = c^2}\)

Since c is the hypotenuse, then substitute a and b with 8 and 15 in any order.

Answer 4

Pythagoras theorem says :

\[(Hypotenuse)^2 = (Base)^2 + (Height)^2\]

So,\[H^2 = 8^2 + 15^2 = 64 + 225\]

\[H^2 = 289\]

Taking square root both the sides,

\[H = \sqrt{289}\]

Hypotenuse Length = 17 Units is the answser...

Answer 5

a^2+b^2=c^2
8^2+15^2=289
sq root of 289=17

Answer 6

thanks guys!