Advertisements
Advertisements
Question
Show that the following points taken in order to form an isosceles triangle
A(5, 4), B(2, 0), C(−2, 3)
Advertisements
Solution
Distance = `sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`
AB = `sqrt((2 - 5)^2 + (0 - 4)^2`
= `sqrt((- 3)^2 + (- 4)^2`
= `sqrt(9 + 16)`
= `sqrt(25)`
= 5
BC = `sqrt((-2 - 2)^2 + (3 - 0)^2`
= `sqrt((-4)^2 + (3)^2`
= `sqrt(16 + 9)`
= `sqrt(25)`
= 5
AC = `sqrt((-2 - 5)^2 + (3 - 4)^2`
= `sqrt((-7)^2 + (-1)^2`
= `sqrt(49 + 1)`
= `sqrt(50)`
= `sqrt(25 xx 2)`
= `5sqrt(2)`
AB = BC = 5 ...(Two sides are equal)
∴ ABC is an isosceles triangle.
APPEARS IN
RELATED QUESTIONS
If the co-ordinate of A is x and that of B is y, find d(A, B).
x = 6, y = - 2
Find d(A, B), if co-ordinates of A and B are -2 and 5 respectively.
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
-9, -1
Co-ordinates of the pair of points are given below. Hence find the distance between the pair.
- 4, 5
If P-Q-R and d(P, Q) = 3.4, d(Q, R)= 5.7 then d(P, R) = ?
Co-ordinate of point A on a number line is 1. What are the co-ordinates of points on the number line which are at a distance of 7 units from A?
The point whose ordinate is 4 and which lies on the y-axis is _______________
The distance between the two points (2, 3) and (1, 4) is ______
If (x + 2, 4) = (5, y – 2), then the coordinates (x, y) are _____
Find the distance with the help of the number line given below.
d(P, C)
