In the adjoining figure, a semicircle with its diameter on hypotenuse of right angle triangle which is touching the remaining sides of the triangle with center 'O'. If l(AO) =15cm and l(OB)=20cm. Find the radius of the semicircle
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Step-by-step explanation:
The given figure has OA and OB as prependicular and base 15 and 20 cm respectively.
by pythagoras theorem, OA² +OB²= AB²
that is 15²+20²= AB² ⇒225 +400 = 625 ⇒AB = √625= 25 cm
Therefore, radius of semi-circle = 25/2 = 12.5 cm
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