# SAT Math Multiple Choice Question 994: Answer and Explanation

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**Question: 994**

**14.**

Triangle *BUG* shown is an isosceles right triangle. If the length of side *UG* is 5 units, what is the sine of ∠*G*?

- A.
- B.
- C.
- D. 1

**Correct Answer:** B

**Explanation:**

**B**

**Difficulty:** Medium

**Category:** Additional Topics in Math / Trigonometry

**Strategic Advice:** When a question doesn't appear to have enough information to answer it, look for clues in definitions of math terms.

**Getting to the Answer:** An isosceles right triangle is a right triangle that has two legs of equal length, making it a 45-45-90 triangle. This means ∠*G* is a 45° angle, and the sine of a 45° angle is, which is (B). You should consider memorizing the trig values for common angles (such as 30°, 45°, 60°, 90°, 180°, and 360°) to save yourself some time on Test Day. However, if you didn't recall the value of sin 45°, you could label the triangle using what you know about the side lengths of 45-45-90 triangles (that they are in the ratio or here,), and then use SOH CAH TOA to find that: