Question

Which is the distance from point A to B?

A) 3

B) 4

C) 5

D) 6

Answer 1

C

Explanation:

To calculate the distance AB use the distance formula

AB = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

with (x₁, y₁ ) = A(0, 0) and (x₂, y₂ ) = B(3, 4)

AB =
`√((3-0)^2+(4-0)^2)`

=
`√(9+16)` =
`√(25)` = 5 → C

Answer 2

c) 5

Explanation:

In this question you are being asked to find the hypotenuse of the triangle

the triangle has one side that is 3 and the other is 4

use Pythagoras to find the missing side (a^2+b^2=c^2)

3^2+4^2=c^2

simplify the exponents

9+16=c^2

combine like terms/adding

25=c^2

take the square root

5=c

the length of the hypotenuse is 5