Question

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The perpendicular bisector of FN is AB←→ . What is the length of AN ? Triangle F A N, that is divided into two congruent triangles, F A H and N A H, by perpendicular bisector A B. The left side, F A, of the large triangle has length 5 R minus 3 and the corresponding right side, A N, has length R plus 25. A. 7 B. 11 C. 32 D. 57

Answer 1

The length of AN is 32 units.

Step-by-step explanation:

To find the length of AN, we can use the fact that the perpendicular bisector of FN is AB. Since AB is the perpendicular bisector, it divides FN into two congruent segments - FA and AN. Given that FA = 5R - 3 and AN = R + 25, we can set up an equation:

5R - 3 = R + 25

4R = 28

R = 7

Substituting this value back into AN = R + 25, we get:

AN = 7 + 25 = 32

Therefore, the length of AN is 32 units.