Question

The points (–3, 0), (3, 0) and (0, 4) are the vertices of:

विकल्प

• a right triangle

• a scalene triangle

• an isosceles triangle

• an equilateral triangle

Answer 1

An isosceles triangle

Explanation:

Let A = (–3, 0), B = (3, 0), C = (0, 4). 

`AB = sqrt((3 - (-3))^2 + (0 - 0)^2` 

= `sqrt(6^2)` 

= 6

`AC = sqrt((0 - (-3))^2 + (4 - 0)^2` 

= `sqrt(3^2 + 4^2)` 

= 5

`BC = sqrt((0 - 3)^2 + (4 - 0)^2` 

= `sqrt((-3)^2 + 4^2` 

= 5

Since AC = BC (two equal sides) and AB ≠ AC, the triangle is isosceles.