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
dezoksy [38]
2 years ago
13

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

sary, round to the nearest tenth.
Mathematics
1 answer:
Vesnalui [34]2 years ago
6 0

\sf\huge\underline{\star Solution:-}

<h3><u>Given that</u>:</h3>
  • Hypotenuse of a right triangle = \sf\blue{16cm.}
  • One side (leg) = \sf\blue{9cm.}

<h3><u>To Find</u>:</h3>
  • Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

\rightarrow As we know that,

\sf{A^2 +B^2 \:=\: C^2}(Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

\rightarrow\sf{A^2 +B^2 \:=\: C^2}(putting the value of both given side of triangle)

  • Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

\rightarrow \sf{9^2 +B^2 \:=\: 16^2}

\rightarrow \sf{81 +B^2 \:=\: 256}

\rightarrow \sf{B^2 \:=\: 256-81}

\rightarrow \sf{B^2 \:=\: 175}

\rightarrow \sf{B \:=\: \sqrt{175}}

\rightarrow \sf{B\:=\: 13.22(approx)}

Therefore, measure of another side (leg) of the triangle = \sf\purple{ 13.22(approx).}

____________________________________

Hope it helps you:)

You might be interested in
Helps, is it 64 111 or 90?​
charle [14.2K]

Answer:

111

Step-by-step explanation:

7 0
3 years ago
Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

Slope of side LM: m LM = (yM-yL) / (xM-xL)
m LM = ( -2 - (-4) ) / (3-1)
m LM = ( -2+4) / (2)
m LM = (2) / (2)
m LM = 1

The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
(m KL) (1) = -1
m KL = -1 = m MN

Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1 
3 0
3 years ago
24. The cost to board a dog at a kennel varies
natita [175]

Answer:c=24n

Step-by-step explanation:

C~n

C=no

96=4k

Divide both sides by 4

96/4=4k/4

24=k

K=24

Our equation is c=24n

8 0
3 years ago
Byron filed for bankruptcy a few years ago, but is still paying higher deposits and interest rates. Byron has calculated that he
Sati [7]
HI,

The Answer to this question is:

B) $968.80

Hope This Helps!
8 0
3 years ago
Read 2 more answers
If your salary is $42,500 and your federal income taxes are 10% of your salary, how much money will you owe this year in federal
Zarrin [17]
I'm assuming that the salary is for the whole year. If it is not, do tell me. 
Tax = 10/100 * 45000
       = 4500
 You owe $4500 in federal taxes.
6 0
3 years ago
Other questions:
  • What is the perimeter of triangle PQR? Show your work.
    6·1 answer
  • Riya is applying to her garden.She applies it at a rate of 25 ,000 cm^3 of mulch for every m^2 of garden space. At what rate is
    15·2 answers
  • The water level at the Dead Sea dropped from 390 meters below sea level in 1930 to 423 meters below sea level in 2010. By how mu
    10·1 answer
  • HI :) I NEED HELP PLEASE BEFORE 12 AM
    6·1 answer
  • NEED HELP NOW!!!
    15·1 answer
  • Barry and his wife, Mary, have accumulated over $3.5 million during their 50 years of marriage. They have three children and fiv
    14·1 answer
  • How do you graph x+ 4
    5·1 answer
  • PLEASE PLEASE HELP I STG IVE BEEN ASKING THE SAME QUESTIONS FOR SO LONG AND NOONES ANSWERING ITS DUE SOON im just gonna fail tbh
    5·2 answers
  • Surface area can be measured in<br><br> Feet<br><br> Units<br><br> Square units <br><br> Meters
    13·1 answer
  • Answer this for 20 points
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!