SAT question a71617d3 (Right Triangles And Trigonometry)

Question

Note: Figure not drawn to scale. In the triangle shown, what is the value of x ?

College Board · Accepted Answer

The correct answer is 45. The correct answer is 45 . An isosceles right triangle has a right angle and two legs of equal length. In the triangle shown, one angle is a right angle and the two legs each have a length of 32 . Thus, the given triangle is an isosceles right triangle. In an isosceles right triangle, the measures of the two non-right angles are 45 ^° . It follows that the value of x is 45 .

CookSAT · Answer

Note: The equal legs make both acute angles x, so their sum with 90° is 180°.

lyw11 · Answer

in 45 deg triangle, ratio is 1:1:sqrt(2) since there are 32 and 32, x is 45 deg

Explanation

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Student discussion

SAT Question a71617d3: Right Triangles And Trigonometry answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Student discussion