1.A brace for a shelf has the shape of a right triangle. Its hypotenuse is 8 inches long and the two legs are equal in length. How long are the legs of the triangle?

2.Use the Pythagorean theorem to find the missing side. c=11, b=4a; find a and b.

3.Consider a right triangle with legs a and b and hypotenuse c. Find the exact length of the missing side.a=3 , b = 3 c= ?

4. Use the Pythagorean theorem to find the missing side. c=square root 31, b = square root 2, find a.

5.Use the Pythagorean theorem to find the missing side. c=7, a=5, find b

6. The area of a rectangular wall of a barn is 36 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn.

Width=? feet

Length=? feet

7. The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 493 square meters, find the dimensions.

The width is______meters.

The length is ________meters.

8. Greg drove at a constant speed in a rainstorm for 259 miles. He took a break, and the rain stopped. He then drove 220 miles at a speed that was 7 miles per hour faster than his prvious speed. If he drove for 12 hours, find the car's speed for each part of the trip.

The rate of the car in the rain was____________. The rate of the car without the rain was___________.

9. Palo Alto College is planning to construct a rectangular parking lot on land bordered on one side by a highway. The plan is to use 400 feet of fencing to fence off the other three sides. What dimensions should the lot have if the enclosed area is to be maximum?

The width is______feet. The length is_______feet.

10. If a baseball is projected upward from ground level with an initial velocity of 128 feet per second, then its height is a function of time, given by s=-16t^2 +128t. What is the maximum height reached by the ball?

Greg drove at a constant speed in a rainstorm for 259 miles. He took a break, and the rain stopped He then drove 220 miles at a speed that was 7 miles per hour faster than his previous speed. If he drove for 12 hours, find the car's speed for each part of the trip.

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 493 square meters, find the dimensions.

The area of a rectangular wall of a barn is 36 square feet. Its length is 6 feet longer than twice its width. Find the length and width of the wall of the barn.

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Use the Pythagorean theorem to find the missing side.cequals

StartRoot 31 EndRoot,bequalsStartRoot 2 EndRoot,find a

Use the Pythagorean theorem to find the missing side.cequals

StartRoot 31 EndRoot,bequalsStartRoot 2 EndRoot,find a