Question:
Quantity A: the area of a right triangle with sides 10, 24, 26
Quantity B: twice the area of a right triangle with sides 5, 12, 13
Which of the following is true?
Quantity A: the area of a right triangle with sides 10, 24, 26
Quantity B: twice the area of a right triangle with sides 5, 12, 13
Which of the following is true?
Quantity B: twice the area of a right triangle with sides 5, 12, 13
Which of the following is true?
Show Hint
For right triangles, area = half the product of the two legs.
Updated On: Oct 3, 2025
- Quantity A is greater.
- The relationship cannot be determined.
- Quantity B is greater.
- The two quantities are equal.
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The Correct Option is D
Solution and Explanation
Step 1: Find area of first triangle.
\[ A = \tfrac{1}{2} \times 10 \times 24 = 120 \] Step 2: Find area of second triangle.
\[ A = \tfrac{1}{2} \times 5 \times 12 = 30 \] Twice this = 60.
Step 3: Compare.
Quantity A = 120, Quantity B = 60. So Quantity A is greater.
Final Answer: \[ \boxed{\text{Quantity A is greater}} \]
\[ A = \tfrac{1}{2} \times 10 \times 24 = 120 \] Step 2: Find area of second triangle.
\[ A = \tfrac{1}{2} \times 5 \times 12 = 30 \] Twice this = 60.
Step 3: Compare.
Quantity A = 120, Quantity B = 60. So Quantity A is greater.
Final Answer: \[ \boxed{\text{Quantity A is greater}} \]
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