A triangle has a vertex at and the midpoints of the two sides through it are and . Then, the area of this triangle is:

2 Explanation: To find the area of the triangle, we can use the properties of the triangle formed by connecting the midpoints. Step 1: Understand the Geometry Let the given vertex be . Let the midpoints of sides and be and respectively. The triangle formed by these three points ( ) has an area that is exactly of the area of the original triangle . Step 2: Calculate the area of The area of a triangle with vertices , , and is given by: Substituting the coordinates , , and : Step 3: Calculate the area of Since , we have: Thus, the area of the triangle is 2 .

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NIMCET 2026 — Mathematics PYQ

NIMCET | Mathematics | 2026

A triangle has a vertex at $(1, 2)$ and the midpoints of the two sides through it are $(- 1, 1)$ and $(2, 3)$ . Then, the area of this triangle is:

NIMCET 2026 — Mathematics PYQ

Choose the correct answer:

Explanation

Explanation

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