7
AssignmentMultiple Choice

Unknown Leg Lengths in Right Triangles

Question 7 • Pre-Algebra B

Sam found a tent in his garage, and he needs to find the center height. The sides are both 5 feet long, and the bottom is 6 feet wide. What is the center height of Sam’s tent, to the nearest tenth?

Answer
A
3 feet
B
4 feet
C
5.5 feet
D
7.8 feet

Explanation

The tent’s cross-section is an isosceles triangle. The center height splits the 6-foot bottom into two 3-foot segments, making a right triangle with a 5-foot side as its hypotenuse. Using the Pythagorean theorem, the height is √(5² − 3²) = √16 = 4 feet, so the correct choice is 4 feet.

AI-written and checked against the verified answer.

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