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|.

Easy Math Editor

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Comments

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 - 8 years, 2 months ago

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 - - 8 years, 2 months ago

the answer is nearly 10 but accurate is 9.78

Ashok Kumar - 8 years, 2 months ago

No, the answer is exactly 10 cm.

Bhargav Das - 8 years, 2 months ago

sorry...i don't get it....why we are using the formula: Area of triangle/semi-perimeter of triangle= r??

Nuraini - - 8 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$