Hi there!
For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.
To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.
We get the following:

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.
We get the following:

That's your answer.
Have an awesome day! :)
- collinjun0827, Junior Moderator
No. Solve each of the problems and see if they match. Do PEMDAS order of operations
Question:
What is the m∠ACB in the circle shown below?
Answer:
45
Step-by-step explanation:
So we know it is <u><em>less than a right angle</em></u> and it is not a obtuse angle it is less than 90 degrees. 45 is less, 90 is equal(<em>not what we are looking for</em>) , 120, is greater, and 180 is greater which leaves us to our answer 45.
Answer:
What do you need help with, comment
Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)




And x=5200-y

Hence, money invested at 4% is $3800 and money invested at 3% is $1400