Answer:
h = √65, length of diagonal = √117
Step-by-step explanation:
1) FE = DC since △FEA congruent to △CBD. Therefore FE per say = 23-15/2 = 4. Respectively we can find height "AE" using Pythagorean theorem;
AE = √(9)^2-(4)^2 = √81-16 = √65 units
h = √65
2) The diagonal of this rectangle forms two smaller triangles, each of which have legs of length 4 + 2 & 4 + 4 respectively. Use Pythagorean Theorem and determine the length of the diagonal;
Legs = 6 & 8
6^2 +9^2 = diagonal^2,
length of diagonal = √6^2 + 9^2
= √117 units
diagonal = √117
