ISEE Mathematics Achievement Question 271: Answer and Explanation

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Question: 271

1. If b = 45, then v² =

A. 32
B. 25
C. 16
D. 5

Correct Answer: A

Explanation:

A If b° = 45°, the other angle must also be 45° since 180° - 90° - 45° = 45°, which makes this an isosceles right triangle. Therefore, the other leg of the triangle is also 4. From here, use the Pythagorean Theorem to find v²: 4² + 4² = v². Simplify the left side of the equation to get 16 + 16 = 32. The correct answer is (A). Be careful here. Notice that the question is asking for v², not just v.

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