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nata0808 [166]
3 years ago
8

What is theformula for finding the hight of a 30-60-90 degree triangle

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0
We don't know which side your triangle is sitting on, so the 'height'
could be any one of three values.

Here are the two simple tools that tell you everything you want to
know about a 30°-60°-90° triangle.  These are worth memorizing:

-- The side opposite the 30° angle is 1/2 of the hypotenuse.

-- The side opposite the 60° angle is 1/2 of the hypotenuse times √3 .

I memorized them exactly 60 years ago.  They've been very useful,
and as far as I know, they haven't changed.
You might be interested in
PQ=RQ a=? <br> Please need help!!
Svetllana [295]
A=100°
as 180-140= 40 , 40 x 2 = 80 & 180-80 = 100° = a
5 0
3 years ago
Thirty percent of the people refused to work and just sat around. if 1400 people worked, how many just sat around?
Nezavi [6.7K]
30% can also be written as .3, which is easier to use in this case.

To find how many just sat around, multiply the number of people by the percentage of how many just sat around.

1400*.3=420
5 0
3 years ago
Read 2 more answers
Find an equation of the plane that contains the points p(5,−1,1),q(9,1,5),and r(8,−6,0)p(5,−1,1),q(9,1,5),and r(8,−6,0).
topjm [15]
Given plane passes through:
p(5,-1,1), q(9,1,5), r(8,-6,0)

We need to find a plane that is parallel to the plane through all three points, we form the vectors of any two sides of the triangle pqr:
pq=p-q=<5-9,-1-1,1-5>=<-4,-2,-4>
pr=p-r=<5-8,-1-6,1-0>=<-3,5,1>

The vector product pq x pr gives a vector perpendicular to both pq and pr.  This vector is the normal vector of a plane passing through all three points
pq x pr
=
  i   j   k
-4 -2 -4
-3  5  1
=<-2+20,12+4,-20-6>
=<18,16,-26>

Since the length of the normal vector does not change the direction, we simplify the normal vector as
N = <9,8,-13>

The required plane must pass through all three points.
We know that the normal vector is perpendicular to the plane through the three points, so we just need to make sure the plane passes through one of the three points, say q(9,1,5).

The equation of the required plane is therefore
Π :  9(x-9)+8(y-1)-13(z-5)=0
expand and simplify, we get the equation
Π  :  9x+8y-13z=24

Check to see that the plane passes through all three points:
at p: 9(5)+8(-1)-13(1)=45-8-13=24
at q: 9(9)+8(1)-13(5)=81+9-65=24
at r: 9(8)+8(-6)-13(0)=72-48-0=24
So plane passes through all three points, as required.

3 0
3 years ago
There is a 172 cm border triangle. One side is 54 cm long. The length of the other two sides must be in a ratio of 5:8. What are
Licemer1 [7]

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

4 0
3 years ago
Express the following expression in the form of a + bi: (39 + 34i) + (76 + 89i) - (47 +26i).
andre [41]

Answer:

68+97i

Step-by-step explanation:

work shown and pictured

3 0
3 years ago
Read 2 more answers
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