Set 61
- x= 21 inches.ΔABC and ΔJIH are congruent (Side-Side-Side
postulate). ΔEDC and ΔEGH are also congruent because three
angles and a side are congruent. However, ΔABC and ΔJIH are
only similar to ΔEDC and ΔEGH (Angle-Angle postulate). A
comparison of side ACto side ECreveals a 10:5 or 2:1 ratio
between similar triangles. If ABmeasures 42 inches, then
corresponding line segment EDmeasures half as much, or 21
inches. - y= 19.Using the same ratio determined above, if BCmeasures 38
inches, then corresponding line segment DCmeasures half as
much, or 19 inches. - p= 270 inches.Add the measure of each exterior line segment
together: 2(42 + 38 + 10) + 2(21 + 19 + 5) = 180 + 90 = 270 inches.
501 Geometry Questions