A hummingbird's nest is 16 feet high in a tree and a flower is on the ground 12 feet away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower?

hypotenuse^2 = 12^2 + 16^2

= 144 + 256
= 400
so sqrt (400) = sqrt (4*100) = 2*10 = 20
(3,4,5 triangle by the way)

A hummingbird's nest is 16 feet high in a tree and a flower is on the ground 12 feet away from the base of the tree. How far will the hummingbird need to fly to get from its nest to the flower?

To calculate the distance the hummingbird needs to fly from its nest to the flower, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the height of the tree can be considered as one side of the right-angled triangle, the distance from the base of the tree to the flower can be considered as the other side, and the distance the hummingbird needs to fly can be considered as the hypotenuse.

Let's denote the distance the hummingbird needs to fly as "d".

Using the Pythagorean theorem, we have:

d^2 = (16^2) + (12^2)
d^2 = 256 + 144
d^2 = 400

Taking the square root of both sides, we get:

d = √400
d = 20

Therefore, the hummingbird needs to fly a distance of 20 feet to get from its nest to the flower.

To find the distance the hummingbird will need to fly from its nest to the flower, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the tree, the ground, and the line connecting the tree base to the flower form a right triangle. The height of the tree is one side of the triangle (16 feet), and the distance from the base of the tree to the flower is another side (12 feet). Let's use "d" to represent the length of the hypotenuse, which is the distance the hummingbird needs to fly.

The Pythagorean theorem can be written as:

d^2 = 16^2 + 12^2

Simplifying this equation:

d^2 = 256 + 144
d^2 = 400

To find the value of "d," we take the square root of both sides:

d = √400
d = 20

Therefore, the hummingbird will need to fly 20 feet to get from its nest to the flower.