3-D Applications
What is the formula for solving for the diagonal length of a rectangular prism
A2+B2+C2=D2
Use the Pythagorean theorem to find c.
A=3
B=4
5
Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.
a = 3
Is it a right triangle?
1-2-3
No
A2 + B2 ≠ C2
In the Pythagorean theorem a2 + b2 = c2, what are a and b called?
Legs
Find the diagonal length (round to nearest tenth) of the rectangular prism with dimensions of:
a=15 b=24 c=8
29.4
Use the Pythagorean theorem to find c.
A=6
B=8
10
Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.
b = 15
Is it a right triangle?
30-40-50
Yes!
A2 + B2 = C2
In the Pythagorean theorem a2 + b2 = c2, what is "c" called?
Hypotenuse
Find the diagonal length (round to nearest tenth) of the rectangular prism with dimensions of:
a=3 b=4 c=7
d=8.6
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.
b = 24
Is it a right triangle?
10-11-21
No
A2 + B2 ≠ C2
Pythagorean Theorem can ONLY be used with _________________.
Right triangles
If the radius of a cone is 5 inches and the height of the cone is 18 inches, what is the slant height of the cone (round to nearest tenth)?
18.7 in
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
Use the Pythagorean theorem to find the missing leg for the triangle with b=20 and c=29.
a = 21
Is it a right triangle?
9-40-41
Yes!
A2 + B2 = C2
True or False:
Pythagorean Theorem can be used to only find the hypotenuse
False
The square Base of a pyramid has an area of 144 square feet, if the slant height of the pyramid is 10 feet, what is the height of the pyramid
8 feet
Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.
a = 35
Is it a right triangle?
54-72-90
Yes!
A2 + B2 = C2
What is the name of the man that the Pythagorean theorem is named after?
Pythagoras