Triangle ABC ~ triangle DEF with the scale factor (ABC : DEF) equal to 2 : 1. The corresponding sides are AB = $x + 5$ and DE = $x$ .
Form the equation from AB/DE = 2/1 and solve for $x$ .

Question

Triangle ABC ~ triangle DEF with the scale factor (ABC : DEF) equal to 2 : 1. The corresponding sides are AB = x + 5 and DE = x. Form the equation from AB/DE = 2/1 and solve for x.

Accepted Answer

5. AB/DE = 2/1 gives (x+5)/x = 2, so x + 5 = 2x, hence x = 5. (Check: AB = 10, DE = 5, ratio 2:1.)

Triangle ABC ~ triangle DEF with the scale factor (ABC : DEF) equal to 2 : 1. The corresponding sides are AB = $x + 5$ and DE = $x$ .
Form the equation from AB/DE = 2/1 and solve for $x$ .

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Criteria for Similarity practice

Triangle ABC ~ triangle DEF with the scale factor (ABC : DEF) equal to 2 : 1. The corresponding sides are AB = x+5 and DE = x.Form the equation from AB/DE = 2/1 and solve for x.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Criteria for Similarity practice

Triangle ABC ~ triangle DEF with the scale factor (ABC : DEF) equal to 2 : 1. The corresponding sides are AB = $x + 5$ and DE = $x$ .
Form the equation from AB/DE = 2/1 and solve for $x$ .