Question

A(6, 0), B(0, 8), O(0, 0).

ΔABO is ______.

पर्याय

• acute angled Δ

• obtuse angled Δ

• right angled Δ

• isosceles Δ

Answer 1

ΔABO is right angled △.

Explanation:

Step 1: Find the lengths of the sides.

Using the distance formula:

Distance between (x₁​,y₁​) and (x₂​,y₂​) = 

`"Distance" = sqrt((x_2 − x_1)^2 + (y_2 − y_1)^2)`

AO: 

= `sqrt((6 − 0)^2 + (0 − 0)^2)` 

= `sqrt36`

= 6

BO:

= `sqrt((0 − 0)^2 + (8 − 0)^2)`

= `sqrt64`

= 8

AB: 

= `sqrt((6 − 0)^2 + (0 − 8)^2)`

= `sqrt(36 + 64)`

= `sqrt100`

= 10

AO² + BO² = AB²    ...[using Pythagoras theorem]

= 6² + 8²

= 36 + 64

=100

= 10²