On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.

If side a measures 12 feet and side b measures 15 feet, how many feet of flowers will be planted alongside c, the hypotenuse of the triangle? Round your answer to the nearest hundredth.

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Intriguing456 Intriguing456 · Answer 1 · 2024-04-04T19:19:27+02:00

Answer:

19.21 ft

Step-by-step explanation:

We can solve for the length of side c using the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

where:

[tex]a[/tex] and [tex]b[/tex] are the "legs", or shorter sides, of the right triangle
[tex]c[/tex] is the triangle's hypotenuse

Plugging in the given side lengths:

[tex]12^2 + 15^2 = c^2[/tex]

[tex]144+225=c^2[/tex]

[tex]c^2 = 369[/tex]

↓ taking the square root of both sides

[tex]\boxed{c\approx 19.21\text{ ft}}[/tex]

So, approximately 19.21 ft of flowers will be planted along side c.