Answer:
c = 15.1
Step-by-step explanation:
Formula:
a² + b² = c²
15² + 2² = c²
225 + 4 = c²
229 = c²

c = 15.1
The velocity when the object falls from 84 feet is 73.32 ft/sec
Step-by-step explanation:
The formula is derived from the conversion of energy principle. As the object falls the potential energy changes into kinetic energy. The right formula is:

here,
v represents the velocity
and
h represents the height in feet.
We can plug in the value of height in the formula to get the value of velocity
So, Putting h=84

Rounding off to nearest 100th
v=73.32 ft/sec
The velocity when the object falls from 84 feet is 73.32 ft/sec
Keywords: Velocity, Height
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Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Given:
two pieces of wood that are 5 feet long each.
form a triangle with a perimeter of a whole number.
third side the triangle will be the house
Since two sides are already of the same length, he can create an isosceles triangle.
An isosceles triangle has two equal sides and two equal angles.
Assuming that the 3rd side is also 5 feet long, then, he can create an equilateral triangle.
An equilateral triangle has three equal sides and three equal angles, measuring 60° each angle.