Unit 7 test: The Pythagorean Theorem

A right triangle has legs $9$ and $12$. How long is the hypotenuse?

A right triangle has a hypotenuse of $25$ and one leg of $7$. How long is the other leg?

A right triangle has legs $3$ and $5$. Find the exact length of the hypotenuse. (You can type a square root as sqrt(…).)

Which set of side lengths forms a right triangle?

Is a triangle with sides $10$, $11$ and $15$ a right triangle?

A triangle has sides $20$ and $21$. How long must the longest side be for the triangle to be a right triangle?

A $17$-foot ladder leans against a wall with its base $8$ feet from the wall. How high up the wall does the ladder reach, in feet?

A rectangle is $10$ meters long and $4$ meters wide. How long is its diagonal, to the nearest tenth of a meter?

A hiker walks $5$ kilometers south and then $12$ kilometers west. How far is she from her starting point, in a straight line, in kilometers?

A box is $2$ feet wide, $3$ feet long and $6$ feet tall. How long is the diagonal from a bottom corner to the opposite top corner, in feet?

What is the distance between $(-1, 2)$ and $(5, 10)$?

Find the distance between $(3, -4)$ and $(-2, 1)$, to the nearest tenth.

A triangle has vertices $A(-1, 0)$, $B(1, 4)$ and $C(5, 2)$. Is it a right triangle?