Question

Refer to the figures find the length of the specified segment

Answer 1

using right angle triangle altitude on hypotenuse theorem we get,

11) a

→ a² = 16 * 4 { since a is perpendicular to hypotenuse so, using altitude on hypotenuse theorem. }

→ a = √(64)

→ a = 8 .

12) b

→ b² = 4 * (4 + 16)

→ b² = 4 * 20

→ b² = 80

→ b = √80

→ b = 4√5

13) c

→ c² = 16 * (16 + 4)

→ c² = 16 * 20

→ c² = 320

→ c = √320

→ c = 8√5

14) r

→ 6² = 4 * r

→ r = 36/4

→ r = 9 .

15) s

→ s² = 9 * (9 + 4)

→ s² = 9 * 13

→ s = √(9 * 13)

→ s = 3√13 .

16) t

→ t² = 4 * (4 + 9)

→ t² = 4 * 13

→ t = √(4 * 13)

→ t = 2√13 .

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