In `triangle ABC,angleA=pi/2b=4,c=3` ,then the value of `R/r` is equal to

Options

A. `5/2`
B. `7/2`
C. `9/2`
D. `35/24`

Explanation

To solve the problem, we need to find the ratio \( \frac{R}{r} \) where \( R \) is the circumradius and \( r \) is the inradius of triangle \( ABC \) with given parameters. Let's go through the solution step by step.

### Step 1: Identify the triangle's properties
We are given:
- \( \angle A = \frac{\pi}{2} \) (which means triangle \( ABC \) is a right triangle at \( A \))
- \( b = 4 \) (length of side opposite to angle \( B \))
- \( c = 3 \) (length of side opposite to angle \( C \))

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