In right triangle , the angle at is , , and the hypotenuse . What is the area of the triangle?
Answer and explanation
Correct answer: A. 270
- 540 forgets the factor of in the triangle area formula ().
- multiplies hypotenuse by opposite leg and divides by two ().
- 180 calculates , using an incorrect opposite leg length.
- multiplies hypotenuse by opposite leg and divides by two ().
- 180 calculates , using an incorrect opposite leg length.
- Step 1: Use : .
- Step 2: Find the adjacent leg using the Pythagorean theorem: .
- Step 3: Compute the area: .
Answer
270.
Practise more Geometry and trigonometry.
Free questions with an explanation for every one, and full timed SAT mock tests.
More Geometry and trigonometry questions
- A right triangle has legs of length 6 and 8. What is the length of its hypotenuse?
- What is the area of a circle with radius 5?
- What is the sum of the interior angles of a hexagon?
- A rectangle has a perimeter of 30 and its length is twice its width. What is its area?
- In a 30-60-90 triangle the shorter leg is 4. What is the length of the longer leg?
- A triangle has a base of and a height of . What is its area?