Question

1. Find the length of the line segment KL.

A. 32.62

B. 15.68

C. 35.16

D. 39.6


2. Find the length of the line segment XY.

A. 4

B. 11.5

C. 25.4

D. 22.7

Thank you!

Answer 1

D.
`\displaystyle 22,7`

D.
`\displaystyle 39,6`

Step-by-step Step-by-step explanation:

Use the Pythagorean Theorem for both right triangles,
`\displaystyle a^2 + b^2 = c^2:`

`\displaystyle 15^2 + 17^2 = c^2 \\ \\ 225 + 289 = c^2 \\ \\ 514 = c^2 \\ \\ √(514) = c \\ \\ 22,6715681 ≈ c \\ \\ 22,7 ≈ c`

`\displaystyle -14^2 + 42^2 = b^2 \\ \\ -196 + 1764 = b^2 \\ \\ √(1568) = √(b^2) \\ \\ 28√(2) = b \\ \\ 39,59797975 ≈ b \\ \\ 39,6 ≈ b`

* Since the hypotenuse [c] is already defined, we use the Pythagorean Theorem in reverse by subtraction.

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