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(Bluebonnet: p. 142) Find each unknown side length. Give exact answers in simplest radical form when...
Question 6 (Bluebonnet: p. 142)
Find each unknown side length. Give exact answers in simplest radical form when needed. For parts (c) and (d), use the Pythagorean theorem to solve each real-world application problem.
(a). A right triangle has legs 9 and b and hypotenuse 15. Find b.
(b). A right triangle has legs 7 and 24 and hypotenuse c. Find c.
(c). A suspension bridge support tower is 24 meters tall. A cable runs from the top of the tower to an anchor point on the bridge deck located 32 meters from the base of the tower. Find the length of the cable.
(d). A diagonal support beam connects the top of a 9-foot-tall bridge pier to a point on the bridge deck 40 feet away from the base of the pier. Find the length of the support beam.
Find each unknown side length. Give exact answers in simplest radical form when needed. For parts (c) and (d), use the Pythagorean theorem to solve each real-world application problem.
(a). A right triangle has legs 9 and b and hypotenuse 15. Find b.
(b). A right triangle has legs 7 and 24 and hypotenuse c. Find c.
(c). A suspension bridge support tower is 24 meters tall. A cable runs from the top of the tower to an anchor point on the bridge deck located 32 meters from the base of the tower. Find the length of the cable.
(d). A diagonal support beam connects the top of a 9-foot-tall bridge pier to a point on the bridge deck 40 feet away from the base of the pier. Find the length of the support beam.