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md aftab alam

· started a discussion

· 1 Months ago

formula (Question: 188061.0 )

formula= 2*(area of triangle)/sum of sides

Question:
\(\triangle\)ABC is a right angled triangle AB = 6 cm, BC = 8 cm and AC = 10 cm then the inradius of the incircle is —
Options:
A) 1 cm
B) 2 cm
C) 3 cm
D) 4 cm
Solution:
Ans: (b)


ramesh

· commented

· 1 Months ago

PLS EXPLANE ME

Vishal Bhumarkar

· commented

· 1 Months ago

thnx bro

md aftab alam

· commented

· 1 Months ago

@Knowledge Expert thanks

Knowledge Expert

· commented

· 1 Months ago

Once you have circle inscribed into that triangle -- you'll notice you won't have the traditional tips to solve this question. This is a 3-4-5 triangle but the angles are not the typical 30-60-90 degree triangle. Instead you have so solve for r - radius.

The way to solve this is to draw a line from radius to all 3 vertices - so you have 3 separate lines. This creates OA, OB, and OC and 3 smaller triangles within the larger 6-8-10 triangle. THe sum of the 3 smaller triangles should equal the sum of the large triangle.

The reason we care about the smaller triangles is because we know their "height" is going to be "r". So 1/2 * base * height, the height will be r.

1/2 * 6* r + 1/2 * 8 * r + 1/2 * 10 * r = 1/2 * 8 * 6
12r = 24
r = 2

Knowledge Expert

· commented

· 1 Months ago

Hi, whats your doubt?
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