tahjirays tahjirays
  • 03-06-2020
  • Mathematics
contestada

what is the length of a leg in a 45-45-90 triangle is the hypotenuse is 8

Respuesta :

altavistard
altavistard altavistard
  • 04-06-2020

Answer:

The legs are both of length 4√2

Step-by-step explanation:

Let the length of one of the two equal legs be x.  Then, by the Pythagorean Theorem, x^2 + x^2 = 8^2, or

2x^2 = 64, or x^2 = 32  =  2(16)

Solving for x, x = 4√2.  The legs are both of length 4√2.

Answer Link

Otras preguntas

Can anybody help me out???!?!?
Is the answer number 1? I can't get anymore wrong sorry for lengthy problem thanks!
What agency has recently released infection control guidelines?
Milton makes trail mix for his hiking group. He mixes 1 1/4 pound of peanuts, 14 oz of raisins, 12 oz of walnuts, and 10 oz of chocolate chips. If Milton divide
The type and age of rocks found in this mountain range are also found on another continent. What might this mean?
Julie is borrowing $14,800 to purchase a car. the loan terms are 36 months at 7.5 percent interest. how much interest will she pay on this loan if she pays the
Describe the effect the Embargo Act had on Americans trade?
what was the name of the present in 1999
Answer the following questions:
Nancy borrows $5000 at a rate of 16% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously?