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
EleoNora [17]
3 years ago
14

Triangle PQR has vertices at the following coordinates: P(0, 1), Q(3, 2), and R(5, -4). Determine whether or not triangle PQR is

a right triangle. Show all calculations for full credit. Please a breakdown of how you calculate this
Mathematics
2 answers:
ruslelena [56]3 years ago
8 0
PQ =  \sqrt{(3-0)^2+(2-1)^2}= \sqrt{9+1}= \sqrt{10}    \\ QR= \sqrt{(5-3)^2+(-4-2)^2}= \sqrt{4+36}= \sqrt{40} \\PR= \sqrt{(5-0)^2+(-4-1)^2}= \sqrt{25+25}= \sqrt{50}

PR is the longest side.
The triangle will be right if
PQ² + QR² = PR²

PQ² + QR² = (√10)² + (√40)² = 10 + 40 = 50
PR² = (√50)² = 50
50=50  so, ΔPQR is <span>a right triangle.</span>
Vikki [24]3 years ago
7 0

PR is the longest side.

The triangle will be right if

PQ² + QR² = PR²

PQ² + QR² = (√10)² + (√40)² = 10 + 40 = 50

PR² = (√50)² = 50

You might be interested in
What are the Swiss flag measurements
kari74 [83]

Answer:

  The flag of Switzerland is square.

Step-by-step explanation:

Only Switzerland has a flag that is square.

The measurements can be anything convenient. The aspect ratio (height to width) is 1 : 1.

When the flag is displayed next to a rectangular flag, it should have the same area as the rectangular flag. (This will mean the Swiss flag side length is the geometric mean of the rectangular flag dimensions.)

_____

Sometimes, the measurements of the flag are chosen to go with the height of the flagpole. The US flag is customarily displayed on a pole 3-4 times as long as the flag is long. That is, the diagonal of the flag is about 0.28 to 0.38 times the pole height.* I could not find comparable information about the Swiss flag.

____

* The diagonal is of interest when the flag is hanging down along the pole, not flying in the wind.

5 0
3 years ago
Can anyone please help me with these sums? I need it fast......Please give correct answers only. I will give brainliest.
soldier1979 [14.2K]

Answer:

rise/run= -20/5= -4/1=-4 slope

or you sound use the slope formula (y2-y1)/(x2-x1)

(-9-11)/(1+4)

-20/5

-4

Step-by-step explanation:

3 0
2 years ago
Given f(x)=6x+4 and g(x)=3x+7 then what is f(g(1))
iren [92.7K]
10 is the best answer
8 0
3 years ago
How much material is needed to construct a triangular tent that is 6 feet wide 4 feet tall and 8 feet long with side measurement
jonny [76]

Answer: 152ft^2

The amount of material needed to construct the tent is 152ft^2

Step-by-step explanation:

The amount of material needed to construct a triangular tent= the surface area of the triangular tent.

S.A = area of the 2 side rectangles + area of the 2 side triangles + area of the base.

S.A = Ab + At + Ar ....1

Area of the base Ab= Length × width = 8×6 = 48ft^2

Area of the two triangles At = 2 × 0.5 × width × height

At = width × height = 6×4 = 24ft^2

Area of the two rectangles Ar = 2 × side measurement × length

Side measurement is given as 5ft.

or it can be calculated using;

Side length can be calculated using Pythagoras theorem.

Examining the figure attached, we can see that;

Side breadth b = √(h^2 + (w/2)^2)

b = √(4^2 + (6/2)^2) = √(16+9) = √25

b = 5ft

Ar = 2×5×8 = 80ft^2

From eqn1, S.A can be solved as;

S.A = 48 + 24 + 80

S.A = 152ft^2

7 0
3 years ago
If I have (7x+3) degrees and (8x+1) degrees what would that equal
Sidana [21]

Answer:

180

Step-by-step explanation:

i just did it got it right

8 0
3 years ago
Other questions:
  • Solve and graph the inequality:-12&gt;-k-(3k+4)
    15·1 answer
  • 1. Suppose xy = 20, where x and y are functions of t. What
    11·1 answer
  • Day 1 2 3 4 5
    10·1 answer
  • The average amount parents and children spent per child on back-to-school clothes in Autumn 2010 was $527. Assume the standard d
    12·1 answer
  • If you subtract 12<br> from my number and<br> multiply the difference by -3,<br> the result is -54.
    11·1 answer
  • I’m stuck on this can anyone help me out
    8·1 answer
  • Which equation represents a linear function
    15·1 answer
  • A) BCD is a straight line.
    7·1 answer
  • Are these lines perpendicular explain
    10·2 answers
  • Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!