What is 2x + 3y -4 =? x = 2 , y =4
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Answer:
<u>Skills needed: Special Right Triangles </u>
Step-by-step explanation:
1) We are given what is known as a right triangle. More specifically, this is a special right triangle. It is a:
30-60-90 triangle, which means it has a:
---> 30-degree angle
---> 60-degree angle
---> 90-degree (right) angle
There is an important property with the side lengths of this special right triangle.
2) The property is the following:
- Let's say the side opposite of the 30-degree angle is .
- The side opposite the 90-degree angle would be .
- The side opposite the 60-degree angle would be
This property is useful for finding side lengths of the triangle.
3) In this problem, we are given the side opposite the 90-degree angle, which means we can divide by to solve for
(side opposite 30° angle).
---> This is the equation
<em> --> </em>We divide by 2 on both sides to isolate the variable.
--> We evaluate it out, and get this to be our answer for
Then, we can solve for the side opposite the 60-degree angle by multiplying by
--->
times itself would be 3, as multiplying by itself is squaring the square root, and removing it.
---> in the diagram.