FIND THE ERROR: Chun and Traci are determining the value of x in the figure. Chun says to find the value of x, solve the proportion = 1, but
Treci says to find the value of 1, the proportion is should be solved. Is either of them correct? Explain your reasoning

FIND THE ERROR Chun and Traci are determining the value of x in the figure Chun says to find the value of x solve the proportion 1 but Treci says to find the va class=

Respuesta :

9514 1404 393

Answer:

  Chun is correct

Step-by-step explanation:

The angle bisector divides the sides of the triangle proportionally. Any proportion that is written should equate ratios of corresponding sides.

Chun's proportion correctly relates the top-side measures to their corresponding bottom-side measures:

  top short : bottom short = top long : bottom long

  5 / 8 = 15 / x

__

Traci's error is that she mixes top-side and bottom-side measures. Her incorrect relation is ...

  top short : bottom long = bottom short : top long

She has used top:bottom for short measures and bottom:top for long measures. This mixing will give Traci an incorrect solution.

__

Chun's proportion correctly gives x=24.