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FloweyFlower
13.07.2019 •
Mathematics
Triangle abc is equilateral. find the height of bd
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Ответ:
Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.
Line BD is placed in the middle, making D the midpoint of side AC.
knowing this information we can determine that the length of DC is 4 units (half of AC)
since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD
a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)
we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third
4² + b²= 8²
16 + b² = 64
b² = 48
b =![\sqrt{48}](/tpl/images/0086/0779/d8f1d.png)
b= 4√3 or about 6.928 units
hope this helped
Ответ:
The volume of the prism is equal to the volume of the cylinder
Step-by-step explanation:
For each solid figure, the volume formula is ...
V = Bh
where B is the cross-sectional area and h is the height. The problem statement tells us B and h have the same values for both figures. Hence their volumes are the same.