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Numerical Ability
Area and Volume
Find the radius of the circle inscribed in the triangle ABC, having sides 10 cm, 10 cm and 16 cm.
a. 2 cm
b. 2.5cm
c. 2.6cm
d. 3cm
Read Solution (Total 4)
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- Radius of an incircle is given by 2a/p where a is the area and p is the perineter of the triangle. Here p=10+10+16=36cm and area=(s(s-10)(s-10)(s-16))^(1/2) where s=p/2=18. Hence area=48sq. cm. So radius of incircle=2*48/36=8/3=2.66cm
- 10 years agoHelpfull: Yes(31) No(1)
- As we know that inradius= area of triangle/semiperimeter
so here semiperimeter =36/2=18
area of isosceles triangle=b/4*sqrt(4a^2-b^2)
here b=base and a=the equal sides of isosceles triangle which is here 10 cm.
so radius =8/3=2.66cm - 10 years agoHelpfull: Yes(3) No(0)
- radius =2.66
- 10 years agoHelpfull: Yes(1) No(0)
- here 6 is the radius of circle
so radius is 3cm(ans) - 10 years agoHelpfull: Yes(0) No(22)
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