Multiple choice

A right triangle has been inscribed in side a circle of radius 10 cm. If the diameter of the cirlce is one of the sides of the triangle and the perimeter of the triangle is 48 cm then other two sides of the triangle are-(in cm.)

  1. 13,15

  2. 14, 14

  3. 12, 16

  4. 10, 18
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

For a right triangle inscribed in a circle with diameter as one side, that side is the hypotenuse (20 cm). If perimeter is 48 cm and hypotenuse is 20 cm, the other two sides sum to 28 cm. Checking 12+16+20=48 and 12²+16²=144+256=400=20² confirms this is correct (a 3-4-5 triangle scaled by 4).

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