Used cross multiplying to solve 4/9 = r-3/6
1 answer:
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Answer:
V = 288.5
Step-by-step explanation:
To find the volume of a cone, use this equation:
r = radius
h = height
We aren't given the height of the cone, just the length of the side. To find the height use the Pythagorean Theorem:
The value of 12.1 yds is the hypotenuse and the radius is the value of one of the legs. So, set it up like this:
Now, solve:
Distribute the square
Subtract 25 from 146.41
a = 11.01862
So, the height is equal to 11.01862 yds.
Now, we can plug everything into the volume equation:
Simplify (use calculator):
V = 288.5
So, the volume of the cone is equal to 288.5
Answer:
See proof below
Step-by-step explanation:
Consider triangle with midpoints D, E, F of the sides BC, AC and AB, respectively. If D, E and F are midpoints of the sides BC, AC and AB, then
- EA=CE;
- DC=DB;
- FA=BF.
Triangle ABC is equilateral triangle, then
- m∠ABC=m∠ACB=m∠BAC=60°;
- AB=BC=AC.
If AB=BC=AC, then EA=CE=FA=BF=DC=DB.
By SAS theorem, ΔFAE≅ΔDCE≅ΔEBD.
Congruent triangles have congruent corresponding sides, then
EF=FD=DE. This means that triangle DEF is equilateral.
