Squares and Cubes
162
256
√121
11
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=3 and c=5
a=4
I can solve for a missing side in 3D figures the same way I solve for a missing side in 2D figures.
True or False?
False - You will need to solve the Pythagorean Theorem twice in some cases.
213
9,261
√289
17
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=5 and c=13
a=12
A rectangular prism has:
Length = 6 cm
Width = 8 cm
Height = 12 cm
Find the space diagonal (the longest diagonal inside the prism).
d≈15.62
382
1444
√361
19
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with a=15 and c=17
b=8
A cube has side length 10 inches.
Find the distance between two opposite vertices of the cube (the space diagonal).
d≈17.32
11112
1234321
√264
16.2
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 8 and 15.
17
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=20
a=16
A rectangular prism has:
Length = 9 cm
Width = 12 cm
Height = 20 cm
Find the length of the space diagonal.
d=25
2193
10,503,459
√33
5.7
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=15
a = 9
A cube has side length 7 inches.
Find the space diagonal (the distance between two opposite vertices of the cube).
d≈12.12