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
Levart [38]
3 years ago
10

If the length of a rectangle is 3 and the width is 2, the length of the diagonal is a 13 b 5 c √5 d √13

Mathematics
1 answer:
trasher [3.6K]3 years ago
3 0

Answer:

The length of the rectangle is 12cm and the area of the rectangle is 60cm2.

Explanation:

By definition, the angles of a rectangle are right. Therefore, drawing a diagonal creates two congruent right triangles. The diagonal of the rectangle is the hypotenuse of the right triangle. The sides of the rectangle are the legs of the right triangle. We can use the Pythagorean Theorem to find the unknown side of the right triangle, which is also the unknown length of the rectangle.

Recall that the Pythagorean Theorem states that the sun of the squares of the legs of a right triangle is equal to the square of the hypotenuse. a2+b2=c2

52+b2=132

25+b2=169

25−25+b2=169−25

b2=144

√b2=√144

b=±12

Since the length of the side is a measured distance, the negative root is not a reasonable result. So the length of the rectangle is 12 cm.

The area of a rectangle is given by multiplying the width by the length.

A=(5cm)(12cm)

A=60cm2

You might be interested in
Is a rectangle a plane shape​
Triss [41]

Answer:

A plane shape with four straight sides and four right angles for corners is called a rectangle.

Step-by-step explanation:

3 0
3 years ago
Which rational number must be added to3\7to get -3\4 ?
VladimirAG [237]
\frac{3}{7}+x=-\frac{3}{4}\\\\\frac{3}{7}(\frac{4}{4})+x=-\frac{3}{4}(\frac{7}{7})\\\\\frac{12}{28}+x=-\frac{21}{28}\\\\x=-\frac{21}{28}-\frac{12}{28}\\\\x=-\frac{33}{28}=1\ \frac{5}{28}
3 0
3 years ago
Which symbol makes the comparison true? 0.74 to 0.740
DENIUS [597]

Answer:

=

Step-by-step explanation:

6 0
3 years ago
Can I have halp with all and an explanation because I am terrible at properties.
Salsk061 [2.6K]
1.   4 • (–3) • 5
   so 4 x (-3) = -12  and then -12 x 5 = -60
2.   (2.25 x 23) x 4
so (2.25 x 23) 51.75  and then 51.75 x4 = 207
4.  5 x 12 x (-2)
 so 5 x 12 = 60  and then 60 x (-2) = -120
5.   35(26)(0) =
  so 35 x 26 = 910  and then  910 x 0 = 0

4 0
3 years ago
What is the solution to this equation?
sattari [20]

Answer:

Step-by-step explanation:

x -  9 = 17

x = 26

the answer is D

4 0
3 years ago
Other questions:
  • How to find volume of a solid
    6·2 answers
  • Find the prime factorization of 50 using exponents
    9·1 answer
  • Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first
    5·1 answer
  • What is 7/13 divided by -2 ​
    7·1 answer
  • A camper wants to know the width of a river. From point A, he walks downstream 90 feet to point B and sights a canoe across the
    11·1 answer
  • 2x+3y=12
    10·1 answer
  • A school custodian discovered a leak in a water pipe. The custodian found that 2,432 fluid ounces of water had leaked out. How m
    7·1 answer
  • ⚠ 25 POINTS AND BRAINLIESTTT ⚠
    15·2 answers
  • Tisha scored an average of 18 points in each of her first five basktetball
    12·1 answer
  • Select the correct answer. A linear function graph of the x-axis and y-axis has a diagonal line that passes the x-axis at (minus
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!