ABC is a right angled triangle. A circle is inscribed in it. The length of the two sides containing the right angle are 10 cm and 24 cm. find the radius of the circle.
Given:
ABC is a right-angled triangle.
A circle is inscribed in it.
The length of the two sides containing the right angle are 10 cm and 24 cm
Formula used:
Solution:
Hypotenuse² = 10² + 24² (Pythagoras theorem)
Hypotenuse = √676 = 26
Radius of the circle inside a triangle inradius (r)
=> (10 + 24 - 26)/2
=> 8/2
=> 4
Hence, correct answer is option (d).
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