Question:
The circumradius of a triangle with sides 7, 24, 25 is:
The circumradius of a triangle with sides 7, 24, 25 is:
Show Hint
Hypotenuse is the diameter of the circumcircle in right triangles.
Updated On: Jun 26, 2026
- 12.5
- 21
- 28
- 56
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Properties of right-angled triangles.
Step 2: Analysis
Check if $7^2 + 24^2 = 25^2 \implies 49 + 576 = 625$. It is a right-angled triangle.
Step 3: Calculation
In a right-angled triangle, the circumradius ($R$) is half of the hypotenuse.
$R = 25 / 2 = 12.5$.
Step 4: Conclusion
The circumradius is 12.5. Final Answer: (A)
Properties of right-angled triangles.
Step 2: Analysis
Check if $7^2 + 24^2 = 25^2 \implies 49 + 576 = 625$. It is a right-angled triangle.
Step 3: Calculation
In a right-angled triangle, the circumradius ($R$) is half of the hypotenuse.
$R = 25 / 2 = 12.5$.
Step 4: Conclusion
The circumradius is 12.5. Final Answer: (A)
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