Question

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

Answer 1

Answer:

Step-by-step explanation:

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

                         = $\frac{9}{3}$

                         = 3

Slope of line B = $\frac{9}{6}$

                         = $\frac{3}{2}$

Slope of line C = $\frac{6}{8}$

                         = $\frac{3}{4}$

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

                                                                                = $\frac{90}{120}$

                                                                                = $\frac{3}{4}$

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

6). Slope of the hypotenuse = $\frac{30}{10}$

                                              = 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = $\frac{18}{24}$

                                        = $\frac{3}{4}$

Given triangle may lie on the line C.

8). Slope of hypotenuse = $\frac{21}{14}$

                                        = $\frac{3}{2}$

Given triangle may lie on the line B.

9). Slope of hypotenuse = $\frac{36}{24}$

                                        = $\frac{3}{2}$

Given triangle may lie on the line B.

10). Slope of hypotenuse = $\frac{48}{16}$

                                          = 3

Given triangle may lie on the line A.