Pythagorean Theorem Review

180 degrees

All the angles in any triangle must add up to what?

If all 3 side lengths are known, and the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side, then the triangle is a right triangle.

Converse of the Pythagorean Theorem

3.2 units

If side a = 1 unit and side b = 3 units, what does side c equal? Round to the nearest tenth if necessary.

18.0 units

If side a = 10 units and side b = 15 units, how many units long is side c? Round to the nearest tenth if necessary.

14.96 units

If side a = 10 units and side c = 18 units, what does side b equal?

23.4 units

If side a = 18 units and side b = 15 units, what does side c equal? Round to the nearest tenth if necessary.

4.6 units

If side a = 2 units and side c = 5 units, what does side b equal? Round to the nearest tenth if necessary.

10.6 units

If side a = 3 units and side c = 11 units, what does side b equal? Round to the nearest tenth if necessary.

7.2 units

If side a = 4 units and side b = 6 units, what does side c equal? Round to the nearest tenth if necessary.

9 units

If side b = 12 units and side c = 15 units, what does side a equal?

5.7 units

If side b = 4 units and side c = 7 units, what does side a equal? Round to the nearest tenth if necessary.

225 square inches

In a Pythagorean Theorem model, if the area of the largest square is 289 square inches, and the area of the smallest square is 64 square inches, what will the area of the medium square be?

15 inches

In a Pythagorean Theorem model, if the area of the largest square is 289 square inches, and the area of the smallest square is 64 square inches, what will the side length of the medium square be?

169 square inches

In a Pythagorean Theorem model, if the area of the smallest square is 25 square inches, and the area of the medium square is 144 square inches, what will the area of the largest square be?

13 inches

In a Pythagorean Theorem model, if the area of the smallest square is 25 square inches, and the area of the medium square is 144 square inches, what will the side length of the largest square be?

5.4 units

In a right triangle, if the length of one leg is 2 units, and the length of the other leg is 5 units, what would be the length of the hypotenuse? Round to the nearest tenth if necessary.

5.9 units

In a right triangle, if the length of one leg is 2.7 units, and the length of the hypotenuse is 6.5 units, what would be the length of the missing leg? Round to the nearest tenth if necessary.

10.4 units

In a right triangle, if the length of one leg is 3 units, and the length of the other leg is 10 units, what would be the length of the hypotenuse? Round to the nearest tenth if necessary.

6.5 units

In a right triangle, if the length of one leg is 3.6 units, and the length of the hypotenuse is 7.4 units, what would be the length of the missing leg? Round to the nearest tenth if necessary.

7.5 units

In a right triangle, if the length of one leg is 6.5 units, and the length of the hypotenuse is 9.9 units, what would be the length of the missing leg? Round to the nearest tenth if necessary.

a²+b²=c²

Pythagorean Theorem

6, 8, 9

Which measurements could not represent the lengths of a right triangle?

3, 4, 5

Which measurements could represent the lengths of a right triangle?

5, 12, 13

Which measurements could represent the lengths of a right triangle?

6, 8, 10

Which measurements could represent the lengths of a right triangle?

angles that have the same measure

congruent angles

the side of a right triangle opposite the right angle

hypotenuse

5 units

if side a = 3 units and side b = 4 units, what does side c equal? Round to the nearest tenth if necessary.

the two sides of a right triangle that meet at the right angle and form an L

legs

the opposite of squaring a number

square root

multiply the number by itself

squaring a number means to...

two angles that add up to 180 degrees

supplementary angles