A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of a rectangle
Let's first draw the picture. The diagonal of your rectangle will be a line that goes from the top left corner of your rectangle to the bottom right corner. This line is the hypotenuse of your RIGHT triangle. The problem tells us that the hypotenuse forms a 30 degree angle with on of the sides. We can pick either side, but I chose to pick the side that includes the left side of the rectangle. Now, we have a 30-60-90 right triangle. The base of the triangle is opposite the 30 degree angle, so it will equal x. The hypotenuse is 2x and the height is x√3.
SO, since we know the hypotenuse is 8cm, we know: 8=2x and x=4; x√3=4√3
The area of a rectangle is b*h, so we multiple 4√3*4 to give us 16√3
Hope that helps!
Answer:
x = 100
Step-by-step explanation:
Please Mark me brainliest
What's the models and the situations? Not sure if there's a pic but it's not visible.
Answer:
HAS A BIG NO SIGN
Step-by-step explanation:
First, she distributed
Which gave her
Then, she combined like terms
Which gave her
Then, she subtracted
from both sided
Which gave her
Then, she added
to both sides
Which gave her
And finally sh edivided 32 by 2 and got
hope this helps if you have any questions please pm me :)