In Δ ABC, the lengths of sides AC and AB are 12cm and 5cm, respectively. If the area of ∆ ABC is 30 cm ^ 2 and R and r are respectively the radii of circumcircle and incircle of Δ ABC , then the value of 2R + r ( in cm

Correct answer: 0 Δ = (1)/(2) · 5 · 12 · sinA = 30 sinA = 1 A = 90 ° ⇒ BC = 13 BC = 2R = 13 r = (Δ)/(S) = (30)/(15) = 2 2R + r = 15

JEE Main 202116 MarchEvening Shift

Exam: JEE Main
Year: 2021
Date: 16 March
Shift: Evening Shift
Subject: Mathematics
Chapter: Properties of Triangles

JEE Main 2021 · 16 March · Evening Shift · Mathematics · Properties of Triangles

In Δ ABC, the lengths of sides AC and AB are 12cm and 5cm,...

\Delta ABC,

the lengths of sides

AC

and

AB

are

12cm

and

5cm,

respectively. If the area of

∆ ABC

30{cm}^{2}

and

R

and

r

are respectively the radii of circumcircle and incircle of

\Delta ABC

, then the value of

2R + r ( \text{in cm} )

is equal to ______ . In Δ ABC, the lengths of sides AC and AB are 12cm and 5cm, respectively. If the area of ∆ ABC is 30 cm ^ 2 and R and r

Correct answer

Step-by-step solution

$\Delta = \dfrac{1}{2} \cdot 5 \cdot 12 \cdot sinA = 30$

$sinA = 1$

$A = 90 ° ⇒ BC = 13$

$BC = 2R = 13$

$r = \dfrac{\Delta}{S} = \dfrac{30}{15} = 2$

$2R + r = 15$

In Δ ABC, the lengths of sides AC and AB are 12cm and 5cm, respectively. If the area of ∆ ABC is 30 cm ^ 2 and R and r

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