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
Given m||n, find the value of x.<br><br> (7%-10)<br> (6X-5)
tamaranim1 [39]

15 degrees

7x-10+6x-5=180

13x=180

x=15

6 0
3 years ago
I need help with these two the same question just need to know whats y and x
Serjik [45]

Step-by-step explanation: A coordinate grid has two perpendicular lines, or axes (pronounced AX-eez), labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin

7 0
2 years ago
Can you help A B C Or D image is here
motikmotik

Answer:d

Step-by-step explanation:

its easy money

4 0
3 years ago
A _____ is not an example of collateral.
bazaltina [42]
B! hope that helped
6 0
3 years ago
Jack sold a black jacket for $150 and took 25% profit. At the same time Jack sold a red jacket for $150 and took a 25% lost.
Rashid [163]
D would be my answer but idk what I'm doing
7 0
3 years ago
Read 2 more answers
Other questions:
  • Write the first 5 terms of the arithmetic sequence whose first term is 8 and whose common difference is -6.
    13·1 answer
  • The endpoints of a diameter of a circle are (5,-10) and (-7,2). What is the equation of the circle in standard form?
    8·1 answer
  • Find the range of the following data. Scores:81,79,80,88,72,96,86,73,79,88
    9·1 answer
  • CORRECT answer gets brainliest.
    14·1 answer
  • 1. 15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 drink water wi
    13·1 answer
  • if a recipe for cookies calls for 3/4 of a cup of sugar, and you want to quadruple the recipe, how many cups of sugar will you n
    8·2 answers
  • =
    11·1 answer
  • A triangle has sides with lengths of 16 centimeters, 23 centimeters, and 24 centimeters. Is it a right triangle?
    10·1 answer
  • HELPPPPP PLZZZ I'LL MARK BRAINLIESTT
    14·1 answer
  • Your goal is to have $200,000 in a 401K that is compounded continuously in order to retire. If you invest $9,500 for fifty years
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!