Pythagorean Triple
Can you form a right triangle with the three lengths given? Show your work. 3, 4, 5
Yes; they are Pythagorean triples! (3 x 3) + (4 x 4) = 25 = (5 x 5)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 15 cm Hypotenuse = ? Leg 2 = 8cm
Hypotenuse = 17 cm
What is the formula for Pythagorean Theorem?
a2 + b2 = c2
Sally walks away from her house. She walks 25 meters west then 15 meters south. How far, in meters, is she from her house?
29.2 meters
What is the square root of 196?
14
Can you form a right triangle with the three lengths given? Show your work. 7, 11, 12
No, they are not Pythagorean triples! (7 x 7) + (11 x 11) = 170 (not 144)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 6 m Leg 2 = 8 m Hypotenuse = ?
Hypotenuse = 10 m
a & b
An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?
15.5 inches
What is 8 squared?
64
Can you form a right triangle with the three lengths given? Show your work. 20, 21, 29
Yes, they are Pythagorean triples! (20 x 20) + (21 x 21) = 841 = (29 x 29)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 24 mm Hypotenuse = ?Leg 2 = 10 mm
Hypotenuse = 26 mm
In terms of the formula, which side is the hypotenuse?
c
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
What is the square root of 625?
25
Can you form a right triangle with the three lengths given? Show your work. 28, 45, 53
Yes, they are Pythagorean triples! (28 x 28) + (45 x 45) = 2,809 = (53 x 53)
Use the Pythagorean theorem to find the missing side of the right triangle. Leg 1 = 7 cm. Hypotenuse = ? Leg 2 = 5.7 cm
Hypotenuse = 9.03 cm
The Pythagorean Theorem can only be used on _____ triangles.
Right
Ed is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?
22.9 meters
What is 18 squared?
324
Can you form a right triangle with the three lengths given? Show your work. 9, 10, 11
No, they are NOT Pythagorean triples! (9 x 9) + (10 x 10) = 181, not 121.
Use the Pythagorean theorem to find the missing side of the right triangle. Side 1 = 5 Hypotenuse = ? Side 2 = Square root of 11
Hypotenuse = 146
In terms of the formula, which of the three sides of the triangle is the longest?
c or The Hypotenuse
A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?
102.9 meters
What is the square root of 144?
12