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Finding the length of triangle

In a triangle ABC, |AB|= 6 cm, |AC|= 5 cm. A circle is inscribed in triangle ABC with radius \sqrt{33/28} cm. Find |BC|.

Note by Nuraini -
3 years, 10 months ago

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sorry...i don't get it....why we are using the formula: Area of triangle/semi-perimeter of triangle= r?? Nuraini - · 3 years, 10 months ago

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the answer is nearly 10 but accurate is 9.78 Ashok Kumar · 3 years, 10 months ago

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@Ashok Kumar No, the answer is exactly 10 cm. Bhargav Das · 3 years, 10 months ago

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BC=10 cm,use the formula: Area of triangle/semi-perimeter of triangle= r, where "r" is the in-radius.Use hero's formula to find the area of the triangle, considering the reqd. side to be "x". You would get a quartic equation later on and that's the hardest part of the solution I feel and then you will get 10 cm as the answer. Bhargav Das · 3 years, 10 months ago

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@Bhargav Das sorry...i don't get it....why we are using the formula: Area of triangle/semi-perimeter of triangle= r?? can you explain further? Nuraini - · 3 years, 9 months ago

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