Basic Facts about PT
In the Pythagorean theorem a2+b2 = c2 , what are a and b called?
Legs
Do the three sides make a right triangle?
10, 13, 15
No; Acute
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with legs 3 and 4 inches long
5
Triangle with a leg of 3 and hypotenuse of 10. What is the length of the other leg?
9.54
Frank wants to make a model pyramid. If the legs are 15 in and 11 in, then what is the diagonal of the pyramid?
Hypotenuse = 18.6
In the Pythagorean theorem a2 + b2 = c2, what is "c" called?
Hypotenuse
Do the three sides make a right triangle?
5, 13, 12
Yes
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
Triangle with a leg 8 and hypotenuse of 12. What is the length of the other leg?
8.94
Coach Ramirez is having his players run the length of the field for 90 yards then jog the diagonals for 150 yards. How many yards will they walk if they walk the widths?
Leg = 120
True or False:
Pythagorean Theorem can ONLY be used with right triangles.
True
Do the three sides make a right triangle?
10, 9, 8
No; Acute
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with sides 5 and 12
13
Triangle with a leg 9 and hypotenuse of 41. What is the length of the other leg?
40
A 13 foot ladder is leaning against a building. The base of the ladder is 5 feet from the building. How high on the building is the ladder?
Leg = 12 feet
True or False:
Pythagorean Theorem can be used with equilateral triangles.
False
Do the three sides make a right triangle?
14, 8, 2
No; Obtuse
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle has sides 9 and 12
15
Triangle with a leg of 16 and a hypotenuse of 24. What is the length of the other leg?
17.89
Francis is making a model airplane and is making the triangle wings. What is the length of the wing if the diagonal part of the wing is 36 cm and the horizontal part of the wing is 14 cm?
Leg = 33.17 cm
What is the name of the man that the Pythagorean theorem is named after?
Do the three sides make a right triangle?
4, 16, 3
No; Obtuse
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle with sides 12 and 16
20
Triangle with side leg of 15 and hypotenuse of 17. What is the length of the other leg?
Trevor is driving to his job interview. He drove 21 miles north then 20 miles east. How far is his house directly to the interview?
Hypotenuse = 29 miles