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
nydimaria [60]
2 years ago
9

The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the

Mathematics
1 answer:
jekas [21]2 years ago
4 0

Answer:

For the value of hypotenuse can be irrational, sum of squares of other two legs might be imperfect square number.

Step-by-step explanation:

We all know, the Pythagorean theorem can be stated as follows:

The sum of squares of two legs of a right angled triangle is equal to the square of the hypotenuse.

i.e.

a^2+b^2=c^2

Where, c is the hypotenuse and a, b are the two other legs of the right angled triangle.

Given that:

a and b are rational numbers.

To find:

Situation for which c is irrational.

Square of a rational number is always rational.

So, a^{2} , b^{2} both will be rational.

And sum of squares of two rational numbers will also be rational.

Therefore, a^2+b^2 will also be rational.

and

c = \sqrt{a^2+b^2}

For the value of c can be irrational, sum of squares of other two legs might be imperfect square number.

You might be interested in
At the beginning of the day, you have a 30-oz bottle of medication. if each dose is 1/2 oz, how many doses in total do you have?
Feliz [49]
Your answer would be 60 ounces.
7 0
3 years ago
A straight angle is split into two smaller angels as shown. The smaller angle’s measure is 1/6 that of a straight angle. What is
marysya [2.9K]

Answer:

e

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A) b=2 i used cos
ivann1987 [24]

Answer:

sin 30=B/C

1/2=B/C

2B=C

B=C/2

3 0
2 years ago
What is the solution for the system of equations {2x-3y-2z=-7, x-3y-3z=4, x-2y-z=-3
Sergeeva-Olga [200]
A suitable matrix calculation tells you (x, y, z) = (-8, -1, -3).

7 0
3 years ago
HEEEEEEELPPPPP? What is the equation of the line in y=mx+b format?
elena-s [515]

Answer:

y = 2x+2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is 1+1? Need help with my son's online school I never went to school so no one has ever taught me math​
    13·1 answer
  • on Saturday emily made $950, Emily made 10 times as much on Monday. how much did emily make on Monday?
    15·2 answers
  • What is the value of k in the linear pair below?
    14·1 answer
  • 6 m<br> 5.2 m<br> 9 m<br> 6 m<br> 6 m<br> What is the volume?
    5·1 answer
  • Can somebody please help me
    11·1 answer
  • Examples of long division?
    13·1 answer
  • Joey has 628 donuts to ship. each box holds 12 donuts.
    14·1 answer
  • Solve the simultaneous equation<br> 4x-y=9 <br> 2x-3y= -23
    8·1 answer
  • 1985 x 99 I already know the answer: 196515
    13·2 answers
  • 1. K + 8 &gt; 19, if k = 11 is this a true statement
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!