Multiple Choice
Without using a calculator, determine all values of P in the interval with the following trigonometric function value.
8. Trigonometric Functions on Right Triangles
Special Right Triangles
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Given the triangle below, determine the missing side(s) without using the Pythagorean theorem (make sure your answer is fully simplified).
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B
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Verified step by step guidance1
Identify the type of triangle: The given triangle is a 45°-45°-90° triangle, which is an isosceles right triangle.
Understand the properties of a 45°-45°-90° triangle: In such triangles, the legs are equal in length, and the hypotenuse is \( \sqrt{2} \) times the length of each leg.
Given that both legs of the triangle are 9, use the property of the 45°-45°-90° triangle to find the hypotenuse.
Calculate the hypotenuse: Multiply the length of one leg by \( \sqrt{2} \). This gives \( 9 \times \sqrt{2} \).
Simplify the expression: The hypotenuse is \( 9\sqrt{2} \).
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Special Right Triangles practice set
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