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

Among all baskets purchased in the South or West neighborhoods, what is the Basket ID of the basket with the largest total revenue? Click here to reference the
Use the distributive property to express the sum of 36 + 8
Please assist me with these problems and show the work: Part 2 6. The angle of elevation of the sun is 68° when a tree casts a shadow 14.3 m long. How tall is t
if f(x) = x - 2, what is f(-1)? ​
3) On a map, Shanti's house is located at (-5,6), theMiddle School is located at (-5,-4), and the ElementarySchool is located at (4,-4). How far is Shanti's hou
How did early life change as civilizations began to develop?
Carnegie was an entrepreneur in which industry​
A atom has 20 electrons, 21 neutrons, and 20 protons. What is the atomic mass of the atom?
Match each table showing a proportional relationship between x and y with its constant of proportionality.
Determine the slope of the line passing through the points (9,8) and (1,3). slope =