Question

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 1

Area of search zone = 8.4 miles²

Explanation:

Given:

One side = 2.4 miles

Hypotenuse side = 7.4 miles

Find:

Area of search zone = ?

Computation:

Another side:

`Side (x) = √(Hypotenuse^2 - Perpendicular^2)\\\\Side (x) = √(7.4^2 - 2.4^2)\\\\Side (x) = √(54.76 - 5.76)\\\\Side (x) = √(49)\\\\Side (x) = 7`

⇒ 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