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
In-s [12.5K]
4 years ago
8

Work out the length of RS.

Mathematics
1 answer:
Setler [38]4 years ago
6 0

Answer:

5.83 units

Step-by-step explanation:

Given is a right angled triangle.

Length of base = 2 - (-3) = 2+ 3 = 5 units

Height = 4 - 1 = 3 units

By Pythagorean theorem:

RS =  \sqrt{ {5}^{2}  +  {3}^{2} }  \\  =  \sqrt{25 + 9}  \\  =  \sqrt{34}  \\  = 5.83095189 \\  = 5.83\: units

You might be interested in
Given: SR bisects angle TSQ angle T is congruent to angle Q prove: triangle RTS is congruent to RQS
yan [13]

Triangle RTS is congruent to RQS by AAS postulate of congruent

Step-by-step explanation:

Let us revise the cases of congruence  

  • SSS  ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  • SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and  including angle in the 2nd Δ
  • ASA ⇒ 2 angles and the side whose joining them in the 1st Δ  ≅ 2 angles and the side whose joining them in the 2nd Δ
  • AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles   and one side in the 2nd Δ
  • HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse  leg of the 2nd right Δ

∵ SR bisects angle TSQ ⇒ given

∴ ∠TSR ≅ ∠QSR

∴ m∠TSR ≅ m∠QSR

∵ ∠T ≅ ∠Q ⇒ given

∴ m∠T ≅ m∠Q

In two triangles RTS and RQS

∵ m∠T ≅ m∠Q

∵ m∠TSR ≅ m∠QSR

∵ RS is a common side in the two triangle

- By using the 4th case above

∴ Δ RTS ≅ ΔRQS ⇒ AAS postulate

Triangle RTS is congruent to RQS by AAS postulate of congruent

Learn more:

You can learn more about the congruent in brainly.com/question/3202836

#LearnwithBrainly

3 0
4 years ago
What expression is equivalent to 7 3/2 ?
mixer [17]

Answer:

17/2

Step-by-step explanation:\

7 3/2 is equal to 17/2 because 2 x 7 is 14 and 14+3 is 17 and you keep the dem so its 17/2 and you cant simplify so it just becomes 7 3/2. i hope this helped.

8 0
2 years ago
Problem is attached, please show steps
In-s [12.5K]

Answer:

Step-by-step explanation:

cos\theta=\frac{adjacent~side}{hypotenuse}=\frac{14\sqrt{2} }{21}  =\frac{2\sqrt{2} }{3}

4 0
3 years ago
I need the answer asap
eimsori [14]

Answer:

22873

Step-by-step explanation:

you have to put the value from 6-94 in n the given equation 5n+7.

for e.g= (5×6+7)+(5×7+7)+(5×8+7)+ _____ so on

3 0
4 years ago
The steps to solve it
pashok25 [27]
6(2k-3) is the answer to this problem.
make a distributive
take the 6 out of the equation and u have remaining 2k-3. 6(2k-3)
6 0
3 years ago
Other questions:
  • Fidel has a rare coin worth \$550$550dollar sign, 550. Each decade, the coin's value increases by 10\%10%10, percent.
    15·2 answers
  • Fined the slope and the y intercept of the graph of the linear equation y = 2x+9?
    13·2 answers
  • Find the product 2,736•57
    10·2 answers
  • Mr. Sanchez bought some book s at the book sale, including 15 paperbacks books. 75% of all the books he bought were paperbacks.
    10·1 answer
  • A peregrine falcon can fly 332 kilometers per hour. How many meters per hour can the falcon fly?
    10·1 answer
  • Please Help!!!!! I will give points! Also can you show the work please!! :D
    11·1 answer
  • A ball rebounds 70% of its original height. It is dropped from an initial height of 400 cm.
    6·1 answer
  • Suppose your friend's parents invest $15,000 in an account paying 5% compounded annually. What will the balance be after 6 years
    13·1 answer
  • A beetle was running along a number line, Then the bug ran from 28 to 78. What distance did it cover? If this run took the bug 9
    15·1 answer
  • X is greater than or equal to -7. Can-7 be a solution for x? Explain
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!