Question

Identify which line from the graph the following right triangles could lie on.

Answer 1

Explanation:

Slope of line A =
`\frac{\text{Rise}}{\text{Run}}`

=
`(9)/(3)`

= 3

Slope of line B =
`(9)/(6)`

=
`(3)/(2)`

Slope of line C =
`(6)/(8)`

=
`(3)/(4)`

5). Slope of the hypotenuse of the right triangle =
`\frac{\text{Rise}}{\text{Run}}`

=
`(90)/(120)`

=
`(3)/(4)`

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse =
`(30)/(10)`

= 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse =
`(18)/(24)`

=
`(3)/(4)`

Given triangle may lie on the line C.

8). Slope of hypotenuse =
`(21)/(14)`

=
`(3)/(2)`

Given triangle may lie on the line B.

9). Slope of hypotenuse =
`(36)/(24)`

=
`(3)/(2)`

Given triangle may lie on the line B.

10). Slope of hypotenuse =
`(48)/(16)`

= 3

Given triangle may lie on the line A.