Yourwelcomelolidn
Answered

IDNLearn.com connects you with a global community of knowledgeable individuals. Our platform offers comprehensive and accurate responses to help you make informed decisions on any topic.

PLEASE HELP ME IVE BEEN STUCK ON THIS ONE QUESTION ALL DAY AND I DONT UNDERSTAND PLEASE

PLEASE HELP ME IVE BEEN STUCK ON THIS ONE QUESTION ALL DAY AND I DONT UNDERSTAND PLEASE class=

Sagot :

Aklee18ooidn

Answer:

ED = 4

Step-by-step explanation:

A & B) Triangles FGD and DGE are similar. Set <DFG to x. We can say that m<DGF, m<DGE, and m<EDF are 90 because they are right. Using triangle angle sum theorem in triangle DEF, we can say that m<DEG = 90 - x. And we can use it again to say in triangle FGD to say m<FDG is also 90-x. From AA we can say the triangles FGD and DGE are congruent.

C) In addition to the two triangles above, triangle FDE would also be congruent due to AA. We can write the following equations using the properties of similar triangles:

DGE  FDE

EG = ED*y --> 2 = ED*y

ED * 1/y = EF --> ED * 1/y = 8 --> ED = 8y

We can substitute:

2 = 8y^2

1/4 = y^2

y = 1/2

This means ED = 8y = 8(1/2) = 4 --> ED = 4

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.