In , if r=1, R=3 and S=5, then the value of is r=1, R=3 rFkk S=5] rc dk eku

JEE MainMathematicsEasyProperties of triangle

In $\Delta ABC$ , if r=1, R=3 and S=5, then the value of
$a^{2} + b^{2} + c^{2}$ is
$\Delta ABC$ r=1, R=3 rFkk S=5] rc $a^{2} + b^{2} + c^{2}$ dk
eku

Show answer and solution

r = \frac{\Delta}{S} \Rightarrow \Delta = 5

\Delta = \frac{abc}{4R} \Rightarrow abc = 60

\Delta^{2} = s(s - a)(s - b)(s - c)

5 = (5 - a)(5 - b)(5 - c)

= 125 - 25(a + b + c) + 5(ab + bc + ca) - abc

a^{2} + b^{2} + c^{2} = 24

Source: Grass-G / M-26 Mathematics Paper 1 15 Jan.docx

Scan any doubt from your notes and get a whiteboard explanation.