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Answer:

h = √65, length of diagonal = √117

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

User Simon Hume
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