Question

PLZ HELP ASAP TRIANGLES SIMMILAR

Answer 1

We have two similar triangles in the given figure:

a) Triangle ABC
b) Triangle ADC

Two given sides of triangle ABC are 2 and 1.
The corresponding two sides of triangle ADC are (2+x) and 3.

For similar triangles, the ratio of corresponding sides is always the same. So we can write:


`2:1=(2+x):3 \\ \\ (2)/(1)= (2+x)/(3) \\ \\ 6=2+x \\ \\ x=4`

Thus, the measure of x is 4