In a - ABC- if a -18- b -24 and c -30- then R - units-A- 18B- 25C- 12D- 15

The correct option is D 15We have, a = 18, b = 24 and c = 30 So, 2s = 18+24+30 = 72 and s = 36. ∴∆= nbsp;s(s a)(s b)(s c)=36×18×12×6=216 nbsp;sq. nbsp;uni ...

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Standard XII

Mathematics

Circum Radius

In a Δ ABC, i...

Question

$In a Δ ABC, if a = 18, b = 24 and c = 30, then R =$ units.

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Solution

The correct option is D 15
We have,
a = 18, b = 24 and c = 30
So, 2s = 18+24+30 = 72
and s = 36.
$∴ Δ = \sqrt{s (s - a) (s - b) (s - c)} = \sqrt{36 \times 18 \times 12 \times 6} = 216 sq . units And we know that, R = \frac{abc}{4 Δ} = \frac{18 \times 24 \times 30}{4 \times 216} = 15 units$

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In a Δ ABC, if a=18, b=24and c=30, then R= units.

The correct option is D 15We have, a = 18, b = 24 and c = 30 So, 2s = 18+24+30 = 72 and s = 36. ∴Δ= √s(s−a)(s−b)(s−c)=√36×18×12×6=216 sq. unitsAnd we know that,R=abc4Δ=18×24×304×216=15 units

$In a Δ ABC, if a = 18, b = 24 and c = 30, then R =$ units.

The correct option is D 15
We have,
a = 18, b = 24 and c = 30
So, 2s = 18+24+30 = 72
and s = 36.
$∴ Δ = \sqrt{s (s - a) (s - b) (s - c)} = \sqrt{36 \times 18 \times 12 \times 6} = 216 sq . units And we know that, R = \frac{abc}{4 Δ} = \frac{18 \times 24 \times 30}{4 \times 216} = 15 units$