Question

find upto three places of decimals where the radius of the circle whose area is sum of the area of two triangles whise sides are 35,53,66 and 33,56,65 measured in centimetres.

Answer 1

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student-name Anugya Chamoli asked in Math
Find to the three places of decimal the radius of the circles whose area is the sum of the areas of two triangles whose sides are 35,53,66and 33,56,65 measured in centimeters.
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student-name Priyanka Kedia answered this
14831 helpful votes in Math, Class XI-Science
Let radius of the circle be r cm

We know that,



Where a, b and c are the lengths of the sides of the triangle and s is the semi-perimeter of the triangle.

Therefore, Area of the triangle whose sides are a = 35, b = 53, c = 66 is as,



And, Area of the triangle whose sides are a = 33, b = 56, c = 65 is as,



Now, according to question,



Hence, radius of the circle is 24.249 cm

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