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
antoniya [11.8K]
3 years ago
13

What are the two missing sides of the triangle ??

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0
Remark
It's a right triangle so the Pythagorean Theorem applies. All you have to do is put the right things in the right places of the formula.

Givens
a = x
b = x + 4
c = 20

Formula and Substitution.
a^2 + b^2 = c^2
x^2 + (x + 4)^2 = 20^2

Solution
x^2 + x^2 + 8x + 16 = 20 Collect the like terms on the left.
2x^2 + 8x + 16 = 20  Subtract 20 from both sides.
2x^2 + 8x + 16 - 20 = 0  
2x^2 + 8x - 4 = 0         Divide through by 2
x^2 + 4x - 2 = 0

Use the quadratic formula
a = 1
b = 4
c = - 2

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} 
 
\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} + 4(1)(2) } }{2} 


From which x = (-4 +/- sqrt(24) ) / 2
x1 = (- 4 +/- sqrt(4*6) ) / 2
x1 = (- 4 +/- 2 sqrt(6) ) / 2
x1 = -2 + sqrt(6)
x2 = -2 - sqrt(6)  This is an extraneous root. No line can be minus.

x1 = + 0.4495
x2 = x + 4 = 4.4495
You might be interested in
Answer to cheek your knowledge
scZoUnD [109]

Answer:

D - ASA

This should be the answer since FH and IG can be said to be parallel and therefore we can find both alternate angles or a vertical opposite angle with one side given. We know that ΔFHJ is reduced by a factor of 2 to get ΔGIJ.

7 0
2 years ago
A clock that loses 5 seconds each hour has not been reset for 48 hours. What time does the clock show if the correct time is 8:4
nikklg [1K]

Answer:

8:45

Step-by-step explanation:

5x48=240 sec

240 sec = 4 min

8:49-4min= 8:45

7 0
2 years ago
Read 2 more answers
Je Suis un garçon tres beau. Envoyer moi un textos
dedylja [7]
Did you just say that you are a beautiful boy and that we should send you a message? WHAT?!!!!??
6 0
3 years ago
A rental company charges $8 per hour to rent a kayak plus a $12 rental fee. If Margerie spent $44, for how many hours did she re
DanielleElmas [232]
4 hours she spent .............:
3 0
2 years ago
Read 2 more answers
Suppose a triangle has sides a, b, and c, and that a2 + b2 < c. Let o be the
siniylev [52]

Step-by-step explanation:

if a^2 +b^2 <c^2,

then abc is not a right triangle since for a right triangle a^2+ b^2 = c^2

8 0
3 years ago
Other questions:
  • Draw 8 lines that are between 1 inch and three inches long measure each line to the nearest fourth inch and make a line plot
    13·2 answers
  • A 45 foot ladder is used to clean the
    6·2 answers
  • A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
    10·1 answer
  • Y-1=4y-2/3<br> y=_____<br> solve
    10·2 answers
  • What is the value of n in the proportion below?
    13·2 answers
  • What is 12375/4 simplified
    13·1 answer
  • a dozen scones cost $5.95. calculate the unit rate showing scones per dollar and the unit rate showing dollars per scone
    15·1 answer
  • Plz i need the answer
    8·2 answers
  • Question
    9·1 answer
  • PLEASE HELP ASAP SEE THE PICTURE!!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!