4.1 Review Worksheet (continued)
Use the following information for Exercises 10 and 11. A manufacturer makes trusses, or triangular supports, for the roofs of houses. Each truss is the shape of an isosceles triangle in which PQ ≅ PR. The length of the base QR is
P
4 3
the length of each of the congruent sides. 10. The perimeter of each truss is 60 ft. Find each side length.
Q
R
11. How many trusses can the manufacturer make from 150 feet of lumber?
4.1.2 Angle Relationships in Triangles 12. A sailor on ship A measures the angle
between ship B and the pier and finds that it is 39 ° . A sailor on ship B measures the angle between ship A and the pier and finds that it is 57 ° . What is measure of the angle between ships A and B?
Pier
Ship B
Ship A
39°
57°
The measure of one of the acute angles in a right triangle is given. What is the measure of the other acute angle? 13. 76 1 4 14. 2 x ° 15. 56.8 °
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