Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
Answer:
-1, 0, 0.1, 1
Step-by-step explanation:
-1 is a negative value, which makes it before 0
0.1 is less than 1 but more than 0
AC = 18
BC = 6x
AB = 2x + 4
Write and solve:
18 + 6x + 2x + 4
18 + 8x + 4 = 180
You can solve further:
18 + 8x = 176
8x = 158
x = 19 & 3/4
Not 100% sure what the question is asking, but hopefully this helps.
Answer:
14.13 units^2.
Step-by-step explanation:
The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.
pi * 3^2 = pi * 9 = 9pi.
This is a semicircle, so the area will be half of the whole circle.
9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.
Hope this helps!
