Pythagorean Theory

Solve for Hypotenuse:

100

The legs given for the right triangle are 6 and 8, what is the hypotenuse?

10

200

The lengths given for the legs are 3 and 4, what is the hypotenuse?

5.

300

The lengths given are 7 and 7, solve for hypotenuse, rounded to the nearest tenth.

13.9

400

The lengths are 12 and 5, what is the hypotenuse?

13

500

The legs are 8 and 10, solve for hypotenuse, rounded to the nearest tenth.

12.8

Vocabulary:

100

What is the formula to find the hypotenuse of a right triangle?

a²+b²=c²

200

What is hypotenuse?

The side across from the right angle.

300

What are the legs?

The lengths that form the right angle on the right triangle.

400

What kind of triangle can you use?

Right triangle.

500

What is the formula you use in order to find a missing length?

c²-b²=a²

Solve for missing length:

100

One of the lengths are 5 and the hypotenuse is 13, what is the missing length rounded to the nearest tenth?

13.9

200

One of the lengths is 6 and the hypotenuse is 10, solve for the missing length.

8.

300

One leg is 11 and the hypotenuse is 13, solve for the missing length.

5.

400

One of the legs is 9 and the hypotenuse is 14, what is the missing length rounded to the nearest tenth?

16.6

500

One of the legs is 15 and the hypotenuse is 17, solve for the missing length rounded to the nearest tenth.

22.6

Right or wrong?

100

Madden was given the numbers 6 and 8 and has to solve for the hypotenuse. After using the formula, he got 10, is he right? If not what is the correct hypotenuse?

Yes, Madden is correct.

200

Sopheee was drawing a right triangle and used 10 as the hypotenuse and 8 as one of the legs. She solved for the missing length and got 12.6, is she right or wrong? If she's wrong was is the correct missing length rounded to the nearest tenth?

Sophee is wrong, the correct missing length is 12.8.

300

Quinn was given the equation where the legs were 5 and 12, he had to solve for the hypotenuse. After solving, he got 13, is he right or wrong?

Quinn is right.

400

Kaitlynne had to do the exit ticket in order to leave the classroom before the bell rang. The hypotenuse was 20 and the leg was 14, leaving a missing length. Kaitlynn solved for the missing length and got 24.3, is she right or wrong? If wrong, what is the correct missing length rounded to the nearest tenth?

Kaitlynne is wrong, the correct answer is 24.4

500

Josh drew a right triangle on the back of his do now and used 15 as one of the legs and 21 as the hypotenuse. He solved the equation using the formula and got 25.8, is he right or wrong? If he's wrong, what is the correct missing length rounded to the nearest tenth.

Josh is right.