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
Shkiper50 [21]
3 years ago
10

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure. 6 sqrt 2

Mathematics
1 answer:
Gemiola [76]3 years ago
7 0
Isosceles right triangles have two equal sides (a and b) that are not the hypotenuse (c). And when two sides are equal, so are their opposite angles. There are only 180° degrees in any triangles, thus the right angle = 90°, so 90 left for the two equal, means that 2x=90,
x = 45°.

There are several ways to go about solving a triangle like this. The best and easiest is simply to memorize that the hypotenuse is exactly root2 times the other sides. Or, each isosceles side is the hypotenuse (c) ÷ root2
a = b = c \div  \sqrt{2} \\ c  = a\sqrt{2}  \\ c = 6 \sqrt{2} \times \sqrt{2}  = 6 \times 2 = 12
Another way to do it is the longer proof of Pythagorean Theorem:
{c}^{2}  =  {a}^{2}  +  {b}^{2}... \:  \:  c =   \sqrt{({a}^{2}  +  {b}^{2})}  \\
c= \sqrt{({6 \sqrt{2}) }^{2} + ({6 \sqrt{2})}^{2}}  \\ =  \sqrt{(2 \times{(6 \sqrt{2} )}^{2} )}  =  \sqrt{2(36 \times 2)}  \\ c =  \sqrt{144}  = 12

You might be interested in
What is Y=2x+5 solve for x
Stells [14]

Answer:

X=-5/2

Step-by-step explanation:

First for Y=2x+5 you change the y into 0

Then you replace the 0 with 2x but change the sign so it will be -2x so it will look like -2x=5

then you divide both sides by 2

Finally you get -5/2

Hopefully this helps

4 0
3 years ago
When the buyer for superior electronics took physical inventory of the blue ray players on July 31, 66 units remained in invento
Alborosie

Answer:

I don't know if u want to know ask ur parents

4 0
3 years ago
Is 5.421 greater or less then 5.4
zavuch27 [327]
Greater than 5.4 i hate the 20 characters rule
5 0
2 years ago
Read 2 more answers
You return from a trip with 480 Canadian dollars. How much are your Canadian dollars worth in U.S. dollars? Use the exchange rat
Sever21 [200]

591 Dollars 42 Cents (591 Dollars when rounded)

6 0
3 years ago
3(x² + 3x - 10)<br> Simply the expression
miv72 [106K]

Answer:

3x^{2}+9x-30

Step-by-step explanation:

Multiply the three into each number

3x^{2}+9x-30

5 0
3 years ago
Read 2 more answers
Other questions:
  • PLZ HELP WILL GIVE BRAINLIEST!!!!! AND 20 POINTS!!!!!!!!!!!!!!
    7·2 answers
  • A random group of 5 boys and a random group of 5 girls were selected to determine whether boys or girls text more. The table sho
    5·2 answers
  • Simplify -2(v+5) +5(4v-2)
    15·1 answer
  • Drainage tubing comes in large rolls. At your hardware store, you cut tubing to the lengths the customers want. You also provide
    8·2 answers
  • What property is 1/5+1/8=1/8+1/5?
    11·1 answer
  • Brahm has $250 in his bank account. This is $75 more than his brother, basil has in his bank account. Find the amount of money i
    15·1 answer
  • Set up an en equation and use it to solve for x
    6·2 answers
  • Pam's age is 3 times din<br> age the sum of the<br> ages is 32. What<br> Jim's age?
    12·1 answer
  • Anyone have 5.3.4 Practice: Modeling: Finding Parallelograms answer key?
    8·1 answer
  • Can someone please help with this question. 20 points up for grabs!!
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!