In a triangle ABC , the lengths of sides AC and AB are $$12cm$$ and $$5$$ cm respectively. If the area of triagnle ABC is $$30$$ $$cm2$$ and R and r are respectively the radii of circumcircle and incircle of triangle ABC then the value of $$2R+r$$ is equal to

Question

In a triangle ABC , the lengths of sides AC  and AB  are $$12cm$$ and $$5$$ cm respectively. If the area of triagnle ABC  is $$30$$ $$cm2$$ and R  and  r  are respectively the radii of circumcircle and incircle of triangle ABC  then the value of $$2R+r$$ is equal to

Infinity Learn · Accepted Answer

Given the lengths of sides AC  and AB  are $$12cm$$ and $$5$$ cm respectively. If the area of triagnle ABC  is $$30$$ $$cm2$$ Area of triangle is equal to half of product of two sidesit means  the triangle is right angled triangle∠$$A=90$$°The hypotenuse of the right angled triangle is $$BC=13$$ cm. pythagoras TheoremCircum radius of  the triangle is half of $$hypotenuseR=132r=$$Δ$$s=3012+13+52=6030=22R+r=13+2=15$$

Properties of triangles

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$\begin{array}{l} In a triangle A B C, the lengths of sides A C and A B are 12cm and 5 cm respectively. \\ If the area of triagnle A B C {is 30 cm}^{2} and R and r are respectively the radii of circumcircle \\ and incircle of triangle A B C then the value of 2 R + r is equal to \end{array}$

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Properties of triangles

Remember concepts with our Masterclasses.

In a triangle ABC , the lengths of sides AC and AB are 12cm and 5 cm respectively. If the area of triagnle ABC is 30 cm2 and R and r are respectively the radii of circumcircle and incircle of triangle ABC then the value of 2R+r is equal to

Ready to Test Your Skills?

free study material

$\begin{array}{l} In a triangle A B C, the lengths of sides A C and A B are 12cm and 5 cm respectively. \\ If the area of triagnle A B C {is 30 cm}^{2} and R and r are respectively the radii of circumcircle \\ and incircle of triangle A B C then the value of 2 R + r is equal to \end{array}$