Find the area of the triangle formed by joining the mid-points of the sides of the triangle whose vertices are $(0,-1),(2,1)$ and $(0,3)$. Find the ratio of this area to the area of the given triangle.

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Geometry

NCERT Class 10 - Math

Chapter 7

Coordinate Geometry

Section 3

Section Formula

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Video Transcript

The help of # three. Okay. Question says we have to find the area of a triangle formed by joining the midpoint of sides of a triangle. Sir, this is A. B. C. Is given zero comma minus one. B. Is two comma one. She is zero comma three. So mid points let us suppose this to be B. And this to be E. This to be F. So midpoint will be zero uh plus two by 21 comma zero. Its midpoint will be of one comma 2 And it will be zero comma one. Okay so now uh we'll be finding the area. So from the but he said question was what was the question and racial area of the given triangle? Okay so let us find first the area of triangle A. B. C. Which will be half in two zero of 1 -3 plus two, three plus one. 0 -1 -1. So this will be three pleasant 4-8. So for for square units. Okay and now area of Triangle the E F. They strangle the E F will be one by two, one in 2, zero and play zero into 0 -2 and plus one in two to minus one, 2 -1 is one and 12 So one square units. So ratio area of triangle abc by area of triangle D E F will be going to fall by one. So the issue is for is to one. Thank you.

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