See Problem 2.

Algebra Find the value of x. Express your answer in simplest radical form.

See Problem 3.

22. Home Maintenance A painter leans a 15-ft ladder against a house. The base of the ladder is 5 ft from the house. To the nearest tenth of a foot, how high on the house does the ladder reach?

23. A walkway forms one diagonal of a square playground. The walkway is 24 m long. To the nearest meter, how long is a side of the playground?

See Problem 4.

Is each triangle a right triangle? Explain.

See Problem 5.

The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.

27. 4, 5, 6
28. 0.3, 0.4, 0.6
29. 11, 12, 15
30. 3 , 2 , 3 square root of 3 comma 2 comma 3
31. 30, 40, 50
32. 11 , 7 , 4 square root of 11 comma square root of 7 comma 4

B Apply

33. Think About a Plan You want to embroider a square design. You have an embroidery hoop with a 6-in. diameter. Find the largest value of x so that the entire square will fit in the hoop. Round to the nearest tenth.

    

    • What does the diameter of the circle represent in the square?
    • What do you know about the sides of a square?
    • How do the side lengths of the square relate to the length of the diameter?
34. In parallelogram R S T W , R S = 7 , S T = 24 ,  and  R T = 25 . r s t w comma r s equals 7 comma s t equals 24 comma , and r t equals 25 . Is RSTW a rectangle? Explain.

Table of Contents