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

Find the missing side of each triangle Round your answers to the nearest tenth if necessary Please Show your work class=

Respuesta :

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

>> Answer

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  • Step by step :

x² = (15,8)² - (5,3)²

x² = 249,64 - 28,09

x² = 221,55

x = 14,88km