HELP ME PLS!!! Find the value of X.
1 answer:
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Answer:
x = 4 and y = 8
Step-by-step explanation:
This is a special right triangle with angle measures 90-60-30 degrees
The side lengths are like the following :
The side length that sees 90 degrees is represented with a
The side length that sees 60 degrees is represented with a
The side length that sees 30 degrees is represented with 2a
now, the angle measure that sees 60 degrees is given as 4 so we understand that a is = 4 that's how we find the value of x and y
We can use the formula for the area of a triangle to solve for these dimensions.
The formula for the area of a triangle is
.
We know that the area of the triangle is 50, so here's our new equation:
How can we solve for
and 
?
Well, we know how to solve equations with one variable.
And since the height is four times the base, we can replace with 
and solve for b!
And of course, since the height is four times that,
The formula for the area of a triangle is
We know that the area of the triangle is 50, so here's our new equation:
How can we solve for
Well, we know how to solve equations with one variable.
And since the height is four times the base, we can replace
And of course, since the height is four times that,