A zookeeper knows that an escaped red panda is hiding somewhere in the triangular region shown. What is the area (in square miles) that the zookeeper needs to search? A right-angled triangle with its sides labeled as x, 7.4 miles, and 2.4 miles.

Answer :

Answer:

Area of search zone = 8.4 miles²

Step-by-step explanation:

Given:

One side = 2.4 miles

Hypotenuse side = 7.4 miles

Find:

Area of search zone = ?

Computation:

Another side:

[tex]Side (x) = \sqrt{Hypotenuse^2 - Perpendicular^2}\\\\Side (x) = \sqrt{7.4^2 - 2.4^2}\\\\Side (x) = \sqrt{54.76 - 5.76}\\\\Side (x) = \sqrt{49}\\\\Side (x) = 7[/tex]

⇒ Area of search zone = 1/2 [One side × Another side]

Area of search zone = 1/2 [2.4 miles × 7]

⇒ Area of search zone = 1/2 [16.8]

Area of search zone = 8.4 miles²

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