Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale.
The diagram shows 7 3 45 and then x
And my answer is 2.2 but that doesn't sound right to me..
Although this might be late for the one who asked the question, I hope this answer helps the ones that will need help later on.
To answer the question, we are given the sides, 7, x, and y. We can use the sine and tangent of the 45-degree angle to find the missing sides.
Sin 45 = 45 7/x
X = 7/sin 45
Using a calculator, the answer would be rounded to 9.9.
Tan 45 = 7/y
Y = 7/tan 45
Using a calculator again, the answer would be 7.
X = 9.9
Y = 7
Hope this helps :)
Sorry, I messed up for the sin of 45.
It's not sin 45 = 45 7/x, it's:
sin 45 = 7/x
/\
7 / \ y
/ \
/____45\
x
tried my best, but there's the graph
Wait wait, there's no three. What I thought was a three was a y
You will have to do a better job of describing your triangle.
What are the lengths of sides given?
Is there an angle given?
its 1 day later and still no answer, bummer
To find the missing side lengths in the triangle, we can apply the Law of Sines. The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, we have a triangle with two given sides: 7 and 3. These sides are opposite the angles labeled as 45 degrees and x (let's call it angle X).
To apply the Law of Sines, we need to find the sine of each angle. We know that the sine of 45 degrees is √2/2.
Now, we can set up the proportion:
7/sin(45) = x/sin(X)
simplifying, we get:
7/(√2/2) = x/sin(X)
To find the value of sin(X), we can use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, we can subtract the given angle of 45 degrees from 180 to find the measure of angle X:
X = 180 - 45
X = 135 degrees
Now, substituting the known values into the proportion:
7/(√2/2) = x/sin(135)
Simplifying further:
x ≈ (7 * sin(135)) / (√2/2)
Using a scientific calculator or specialized software, we can evaluate the sine of 135 degrees to find:
sin(135) ≈ -√2/2
Plugging in this value, we get:
x ≈ (7 * (-√2/2)) / (√2/2)
Simplifying the expression:
x ≈ (7 * -√2) / √2
Canceling out the square roots:
x = -7
Therefore, the length of the missing side labeled as "x" in the triangle is -7 units.