47.9k views
5 votes
If AD = 21, BF = 8, and DF = 8, what is the value of AB?

If AD = 21, BF = 8, and DF = 8, what is the value of AB?-example-1

1 Answer

7 votes

Answer:

AB would be 21

Explanation:

Sides BF and DF equal 8, because triangles BFC and DFC are both right triangles and they have two equal sides (hypotenuses are equal and both triangles share side FC), triangles BFC and DFC are congruent triangles, which means side DC is equal to BC. Since right triangles ADC and ABC share side AC and BC = DC, they are congruent triangles, meaning AB will equal AD, which is 21.

User Grexlort
by
6.2k points