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In a scalene triangle ABC , AD and CF ar...

In a scalene triangle ABC , AD and CF are the altitudes drawn from A and C on the sides BC and AB repectively.If the area of the triangle ABC and BDF are 18sq.units and 2 sq. units respectively and DF = `2sqrt2` , then R =

A

`9/4`

B

`9/2`

C

9

D

none of these

Text Solution

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To solve the problem step-by-step, we will follow the reasoning provided in the video transcript while ensuring clarity in each step. ### Step-by-Step Solution: 1. **Understanding the Problem**: We have a scalene triangle ABC with altitudes AD and CF drawn from points A and C to sides BC and AB, respectively. We know the areas of triangle ABC (18 sq. units) and triangle BDF (2 sq. units), and DF = \(2\sqrt{2}\). 2. **Area of Triangle BDF**: The area of triangle BDF can be expressed using the formula: \[ ...
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Section I - Solved Mcqs
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