CBSE Class 10 Mathematics Basic 2023: question 23(b)

Hints

Open one hint at a time and try again before the next.

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

1. Let A(−2, 0), B(2, 3), C(1, −3). $AB=\sqrt{(2+2{)}^2+(3-0{)}^2}=\sqrt{16+9}=5$

   ½ mark

2. $BC=\sqrt{(1-2{)}^2+(-3-3{)}^2}=\sqrt{1+36}=\sqrt{37}$

   ½ mark

3. $CA=\sqrt{(-2-1{)}^2+(0+3{)}^2}=\sqrt{9+9}=3\sqrt{2}$

   ½ mark

4. All three sides are unequal, so $△ABC$ is a scalene triangle.

   ½ mark

Answer: Sides 5, $\sqrt{37}$, $3\sqrt{2}$ are all different, so the triangle is scalene.

Revise the chapter

• Chapter: Coordinate Geometry (notes, formulas, where marks are lost and every past question)
• Topic: Distance Formula