SAT Math Multiple Choice Practice Question 159: Answer and Explanation

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Question: 159


7.If the line segment marked h in the figure above is 5 cm long, then the perimeter of triangle ABC equals

A. 10
C. 20
E. 30

Correct Answer: B


B. You have to admit, this problem is pretty cool: It's a 45-45-90 triangle cut into two smaller ones. If you call the midpoint of the base point D (as you see in the diagram that follows), you can use your 45-45-90 triangle formulas to determine that AD and CD are both 5 and AB and CB are both . As a result, the total perimeter of ABC is .

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