Pythagorean Theorem and the Coordinate Grid

Use the Pythagorean Theorem to find the missing side length of the right triangle.

Mathematical Equivalence

ON

Use the Pythagorean Theorem to determine if a triangle with side lengths of 7, 24, and 25 is a RIGHT triangle.

• Yes, it is a right triangle

• No, it is not a right triangle

Use the Pythagorean Theorem to determine if a triangle with side lengths of 10, 12, and 16 is a RIGHT triangle.

• Yes, it is a right triangle

• No, it is not a right triangle

The coordinate grid shows the location of Carla’s home at point A and the location of the closest movie theater at point B.  Which whole number is the closest approximation for the shortest distance between Carla’s home and the movie theater?

• 7 units

• 8 units

• 9 units

• 12 units

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Find the length of the missing side.

• 17 cm

• 22 cm

• 15 cm

• 13 cm

Find the length of the missing side

• 48

• 108

• 83.6

• 72

Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards. What is the length of the diagonal, in yards, that Tanya runs?

• 26.5 yards

• 10 yards

• 50 yards

• 46.7 yards

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? 

• 14 blocks

• 12 blocks

• 10 blocks

• 8.5 blocks

What is the length of the hypotenuse?

• 33.5 cm

• 45 cm

• 6.7 cm

• 15 cm