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Maharashtra State BoardSSC (English Medium) 10th Standard

If Hypotenuse of a Right Angled Triangle is 5 Cm, Find the Radius of the Circle Passing Through All Vertices of the Triangle.

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Question

If hypotenuse of a right angled triangle is 5 cm, find the radius of
the circle passing through all vertices of the triangle.

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Solution

Radius = `1/2` × hypotenuse ...........(The circumcentre of a right angled triangle is the mid-point of its hypotenuse)
= `1/2 × 5`
= 2.5

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