One way to solve this is to use Pythagorean theorem: the square of one leg of triangle plus square of other leg of the triangle equals c the hypotenuse (longest side of triangle). You might see this as the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
In this case, the legs are 3√2 and the hypotenuse is h.
Using the formula:
(3√2)² + (3√2)² = h²
18 + 18 = h²
h = 6
The other way to do this is with trigonometric angles.
Remember cosine is adjacent over hypotenuse.
cos(45°) = (3√2) / h
h = (3√2) / cos(45°)
h = 6
1-1/6*3/2
multiply the two fractions
1/6*3/2
Cross out 3 and 6, divide by 3.
1/2 * 1/2
multiply the numerators together
1*1=1
multiply the denominators together
2*2=4
1-1/4
pretend that 1 has a denominator which is 1
1/1-1/4
find the common denominator for 1/1 which is 4
multiply by 4 for 1/1
1*4/1*4=4/4
4/4-1/4
Answer:
3/4
Answer: The area is 5024 yrd^2
Step-by-step explanation:
80 is the diameter to we need to divide it by 2 to find the radius
80/2= 40
A= 3.14* 40^2
A = 3.14 * 1600
A= 5024
Answer:
20 4/7 inches
Step-by-step explanation:
Take 12 feet and convert to inches
1 ft = 12 inches
12 * 12 = 144 inches
Divide by 7
144/7 =20 with 4 left over
20 4/7 inches
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies
