Geometry and TrigonometryHardHypotenuse of an isosceles right triangle from its area
Geometry and Trigonometry practice question
An isosceles right triangle has an area of 18. What is the length of its hypotenuse?
- A. 6√2Correct
- B. 6
- C. 36
- D. 3√2
Answer: A. 6√2
Equal legs s with (1/2)s² = 18 give s² = 36, s = 6. The hypotenuse is s√2 = 6√2.
Why the other answers are wrong
- B. 6
- 6 is the length of each LEG.
- C. 36
- 36 is s², the square of a leg.
- D. 3√2
- 3√2 is half the hypotenuse.
More Geometry and Trigonometry questions
- Hard
In a right triangle, one leg is 5 and the hypotenuse is 13. What is the length of the other leg? - Hard
A circle has a radius of 4. What is the length of an arc that subtends a central angle of 90°? - Hard
A circle is defined by the equation (x − 3)² + (y + 2)² = 25. What is the radius of the circle? - Hard
What is 135° expressed in radians? - Hard
What is the length of segment PT? - Hard
What is the measure, in degrees, of the central angle of this sector?
Not affiliated with the College Board. SAT is a trademark of the College Board.