Solving Legs in Right Triangles

solve for c

• 7

• 9

• 4

• 13

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles

• 32 miles

• 37 miles

• 40 miles

Does this equation seem familiar to you? (a² + b² = c²)

• Yes!

• Maybe?

• Not at all

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

• 210 m

• 180 m

• 150 m

• 79 m

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

• 7√2

• 49√2

• 7

• 7√7

Find a.

• 4

• 2

• 4√2

• 2√4

Find c.

• 6√2

• 2√6

• 6

• 12

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

When given the length of one of the legs of a 45-45-90 Right Triangle, we can calculate the length of the hypotenuse by

When given the length of the hypotenuse of a 45-45-90 Right Triangle, we can calculate the length of the leg by