Answer:
D. [tex]\displaystyle 22,7[/tex]
D. [tex]\displaystyle 39,6[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem for both right triangles, [tex]\displaystyle a^2 + b^2 = c^2:[/tex]
[tex]\displaystyle 15^2 + 17^2 = c^2 \\ \\ 225 + 289 = c^2 \\ \\ 514 = c^2 \\ \\ \sqrt{514} = c \\ \\ 22,6715681 ≈ c \\ \\ 22,7 ≈ c[/tex]
[tex]\displaystyle -14^2 + 42^2 = b^2 \\ \\ -196 + 1764 = b^2 \\ \\ \sqrt{1568} = \sqrt{b^2} \\ \\ 28\sqrt{2} = b \\ \\ 39,59797975 ≈ b \\ \\ 39,6 ≈ b[/tex]
* Since the hypotenuse [c] is already defined, we use the Pythagorean Theorem in reverse by subtraction.
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