Unit 7: Geometry

Skill 31

100

Find the value of C.

3²+4²=c²

5

200

Find the value of A

a²+64=100

a=6

300

The hypotenuse is 2 time square root 54, and one of the leg is 6. Find the length of the other leg. Round your answer to the nearest tenth.

13.4

400

One of the legs of a right triangle measures 9 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest hundreth.

9.85

500

The sides of a triangle are 71, 44, and 68. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

 Acute

Skill 32

100

Find the distance (-5,1)(-4,1)

1

200

Find the distance (0,0) (3,4)

5

300

Find the distance (−1,−1) and (5,−9).

10

400

Find the distance. Turn the answer into a radical answer. (4,−4) and (9,−2)

Square Root of 29

500

Find the perimeter, (5,-3), (0,2), (0,-3). Round your answer to the nearest hundredth.

17.07

Skill 33

100

Find the midpoint of these two points

(0,0), (2,2)

(1,1)

200

Find the volume of a sphere with the diameter of 5. Round your answer to the nearest hundredth.

65.45

300

There is a cylinder and a cone. Both of these have the same radius of 3, but the cylinder has a height of 10 and the cone has the height of 4. What is that volume of the cylinder and the cone combined?

320.44

400

Find the Area of this rectangle with these points,

(1,7) (3,6) (1,2) (-1,3)

10 units²

500

Find the Area of the Triangle with these points

(-2,-1) (2,2) (1,-5)

12.5 units²