Triangle above is a right triangle, and . What is the length of side ?

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The correct answer is 24. The sine of an acute angle in a right triangle is equal to the ratio of the length of the side opposite the angle to the length of the hypotenuse. In the triangle shown, the sine of angle B , or , is equal to the ratio of the length of side to the length of side . It&rsquo;s given that the length of side is 26 and that . Therefore, . Multiplying both sides of this equation by 26 yields . By the Pythagorean Theorem, the relationship between the lengths of the sides of triangle ABC is as follows: , or . Subtracting 100 from both sides of yields . Taking the square root of both sides of yields .

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