1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flura [38]
3 years ago
11

The hypotenuse of a 45°-45°-90° triangle measures 10 sqrt 5 in. What is the length of one leg of the triangle?

Mathematics
2 answers:
kati45 [8]3 years ago
7 0
There is one rule to remember for 45-45-90 right triangle: hyp = sqrt2 * leg
Given the hypotenuse, plug the value into the equation and solve.

10sqrt5 = sqrt2 * leg
Divide both sides by sqrt2

10sqrt5
-----------  = leg
sqrt2

Multiply the numerator and denominator by sqrt2 to clear the radical..
(10sqrt5)(sqrt2)                          10 sqrt10                        5sqrt10  = leg
--------------------  = leg                --------------  = leg            
(sqrt2)(sqrt2)                                    2
Zina [86]3 years ago
4 0

Answer:

B. 5 sqrt 10

Step-by-step explanation:

You might be interested in
Which of the following best describes the relationship between Angle a and angle b in the image below ( Choose all that apply)
Goryan [66]

Answer:

a

Step-by-step explanation:

6tgjnnvcyhjjjjjjjjjffc

8 0
3 years ago
Read 2 more answers
The larger of two numbers is 12 less than 5 times the smaller. If the smaller number is equal to one-third of the larger number,
klemol [59]

Answer:

one=12 sencond=1

Step-by-step explanation:

x=12

then,y=3

after that

first NUM,=12

second NUM=1

7 0
3 years ago
What is the area of the figure?
xenn [34]

Answer:   17.5 square yards

================================================

Work Shown:

base = 5 yards

height = 7 yards

The base and height are always perpendicular to one another

area of triangle = 0.5*(base)*(height)

area of triangle = 0.5*(5)*(7)

area of triangle = 17.5 square yards

The other values aren't used. They're likely thrown in as a distraction.

3 0
3 years ago
Read 2 more answers
What is the simplified expression for
kiruha [24]
5/2 should be as simplified as it can get. Hope this helps!
6 0
4 years ago
Read 2 more answers
I'm home schooling from the virus and I don't know how to solve it​
sergey [27]
The answer is v=25.
5 0
4 years ago
Read 2 more answers
Other questions:
  • 1.) A committee would like to determine four people to office, namely, a president, vice president, secretary and treasurer. In
    9·1 answer
  • Brainers, please help me
    11·1 answer
  • A dozen apples costs $2.35. At this rate, how much would 5 apples cost?
    7·2 answers
  • The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures 24 m by 24 m. Wh
    13·1 answer
  • In the statement 10 + 0 = 0 + 10 how would you describe the zero (0)?​
    9·1 answer
  • What is the median?<br> 122235
    7·1 answer
  • On Alex's map, 0.5 inch represents 20 miles.
    7·1 answer
  • I need my password to login
    15·2 answers
  • PLSS HELP<br>the question is in the picture​
    11·1 answer
  • 372.2 is what percent of 642
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!