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meriva
2 years ago
10

Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Mathematics
2 answers:
Gala2k [10]2 years ago
7 0
<h2>>> Answer </h2>

___________

\:

\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}

  • Step by step :

x² = (15,8)² - (5,3)²

x² = 249,64 - 28,09

x² = 221,55

x = 14,88km✔

BabaBlast [244]2 years ago
4 0

Answer:

x = + 14.88 km

Step-by-step explanation:

Let's solve for x using the Pythagorean Theorem.  

The length of the hypotenuse is 15.8 km; that of the shorter leg is 5.3 km.

Since a² + b² = c², we get:

(5.3 km)² + x² = (15.8 km)²

Solving for x², we obtain (15.8 km)² - (5.3 km)² = 249.64 km² - 28.09 km²

The last expression returns the value 221.55 km² for x²

Taking the square root of both sides, we get x = + 14.88 km

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