Question

Quadrilateral ABCD is drawn on a coordinate plane. Find the length of the side AB. Please help

Answer 1

Hello from MrBillDoesMath!

Answer:

sqrt(45)

Discussion:

See the attached file. The length AB is the hypotenuse of the right triangle with sides 3 and 6. Hence

AB = sqrt ( 3^2 + 6^2)

= sqrt ( 9 + 36 )

= sqrt (45) <----- this is the answer they wanted!

= sqrt (9 *5)

= sqrt(9) * sqrt(5)

= 3 * sqrt(5)

Thank you,

MrB

Answer 2

B. /AB/ =
`√(45)` units

Explanation:

A quadrilateral is the class of four sided figures. Examples include: squares, rectangles, rhombus, kite, parallelogram, trapezium etc.

From the graph, the quadrilateral is in the form of a trapezium.

the length of the side AB can be determined by:

Draw a perpendicular from B to meet AD at E to form triangle ABE,

From triangle ABE, AE = 3 units and BE = 6 units. Applying the Pythagoras theorem to determine the length AB, we have;

`/AB/^(2)` =
`/BE/^(2)` +
`/AE/^(2)`

=
`6^(2)` +
`3^(2)`

= 36 + 9

`/AB/^(2)` = 45

Find the square root of both sides,

/AB/ =
`√(45)`

Thus,

/AB/ =
`√(45)` units