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
iren2701 [21]
3 years ago
14

In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit

s of the hypotenuse of this triangle
Mathematics
1 answer:
MAXImum [283]3 years ago
6 0

Given:

The vertices of a right triangle are:

(-3,4),(3,4),(3,-4)

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are A(-3,4),B(3,4),C(3,-4).

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(3-(-3))^2+(4-4)^2}

AB=\sqrt{(3+3)^2+(0)^2}

AB=\sqrt{(6)^2+0}

AB=\sqrt{36}

AB=6

Similarly,

BC=\sqrt{(3-3)^2+(-4-4)^2}

BC=\sqrt{(0)^2+(-8)^2}

BC=\sqrt{64}

BC=8

And,

AC=\sqrt{(3-(-3))^2+(-4-4)^2}

AC=\sqrt{(6)^2+(-8)^2}

AC=\sqrt{36+64}

AC=\sqrt{100}

AC=10

Now, taking sum of squares of two smaller sides, we get

AB^2+BC^2=6^2+8^2

AB^2+BC^2=36+64

AB^2+BC^2=100

AB^2+BC^2=AC^2

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

You might be interested in
suppose you have a rectangle with a length 8 cm and width 3 cm. Now suppose the sides are doubled. Find the percent os increase
mr Goodwill [35]
The original perimeter is 22 cm.

If both sides are doubled, the length would be 16 cm and the width would be 6 cm.
The perimeter would be 44 cm.

22/44 is 50%.
3 0
3 years ago
Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the
german

Answer:

120x138 in or 11.5x10 feet

Step-by-step explanation:

Step 1:

convert the feet to inches

10(feet)*12(inches)=120 inches

Step 2:

120(width)+18(length)=138 inches

Step 3:

width: 120 in OR 10 feet

length: 138 inches OR 11.5 feet (when divided by 12)

Hope this helps!

8 0
3 years ago
Read 2 more answers
Solve please. Correctly<br> -2x + 5x = 3x - 3
Ugo [173]
3x=3x -3 which would equal infinite or no solution. Hope this helps !
8 0
3 years ago
Read 2 more answers
What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4
Svet_ta [14]

Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

3 0
3 years ago
If Jesse cen make 41 jumps in 10 seconds how many can she do in five minutes.
Aleks04 [339]
1230 in five minutes  Just multiply 6 * 41 to get to minutes format, then multiply by five make it five minutes. To get the second answer just divide it by two, which would make it 615.


Hope this helps!
6 0
2 years ago
Other questions:
  • To convert 5.3 minutes to seconds which ratio could you multiply
    9·2 answers
  • Name plane P and two more ways
    12·1 answer
  • Convert a 30% markup percent on cost to markup percent on selling price. (Round to the nearest hundredth percent.)
    5·1 answer
  • How do u solve 2x3/5+1/5
    5·1 answer
  • carlos is two-thirds his grandfather's height. if his grandfather is 6 feet 3 inches tall, how tall is carlos
    6·1 answer
  • 1. Before tax, the price of your bill was $24. With tax included, you paid $25.74. What percent sales tax did you pay?
    12·2 answers
  • What is the area of the irregular polygon shown below?
    14·1 answer
  • Can someone help me? <br><br> My teacher said to put in simplisit form. and not to estimate.
    13·1 answer
  • A basin of a water fountain is cube shaped and has a volume of 91.125 cubic feet
    7·1 answer
  • The mode of the data<br> set is 21. What number<br> is missing?<br> 21, 17, _25, 23, 13
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!