You visited us 1 times! Enjoying our articles? Unlock Full Access!

Depression in Freezing Point

Given that ...

Question

Given that $△ = 6, r_{1} = 2, r_{2} = 3, r_{3} = 6.$
Circumradius R is equal to

2.5

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

3.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1.5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

none of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $2.5$
Given $△ = 6, r_{1} = 2, r_{2} = 3, r_{3} = 6.$
Using $r_{1} = \frac{Δ}{s - a}, r_{2} = \frac{Δ}{s - b}, r_{3} = \frac{Δ}{s - c}$
$\Rightarrow s - a = 3, s - b = 2, s - c = 1$
$\Rightarrow 3 s - (a + b + c) = 6 \Rightarrow s = 6$
Therefore $a = 3, b = 4, c = 5$
Hence $R = \frac{a b c}{4 Δ} = \frac{3 \times 4 \times 5}{4 \times 6} = 2.5$

Suggest Corrections

Similar questions

△ A B C, R, r, r_{1}, r_{2}, r_{3}

A, B, C

r_{1} : r_{2} : r_{3} = 1 : 2 : 3

R : r

△ A B C, R, r, r_{1}, r_{2}, r_{3}

A, B, C

r_{1} : r_{2} : r_{3} = 1 : 2 : 3

(r_{1} - r) (r_{2} - r) (r_{3} - r) = 4 R r^{2}

△ A B C,

r

R

r_{1}, r_{2}, r_{3}

a, b, c

r_{1} = 2, r_{2} = 3, r_{3} = 6

r_{1}, r_{2}, r_{3}

A B C

r

r_{1} r_{2} r_{3} - r (r_{1} r_{2} + r_{2} r_{3} + r_{3} r_{1})

Join BYJU'S Learning Program