Question

prove that the points (a,a),(-a,-a) and (-root3a,root3a) are the vertices of an equilateral triangle. calculate the area of the triangle

Answer 1

✔✔✔✔ STEP BY STEP SOLUTION ✔✔✔✔

➡ Firstly, we have calculated the distances bwteen each of two points by naming the given points as "A", "B", and "C".

➡ We know, distance formula
= √{(x2-x1)²+(y2-y1)²}.

This is what we applied.

➡ Since we get all the three sides equal, so it is obviously an equilateral triangle.

➡ We also know that area of equilateral triangle is √3/4 × (side)². So, without wasting time, we used that formula immediately to calculate the area of the given equilateral triangle which is formed by those three named points.

➡ Ultimately, the answer we got is 2a²√3 square units.

✨✨✨✨ ALWAYS BE BRAINLY ✨✨✨✨