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When you are given three side lengths for a triangle, how do you know which length to substitute for a, b, or c in the Pythagore

Romashka [77]

Answer:

When Sum of square of two Sides is equal to square of third side of triangle.

Step-by-step explanation:

Given:

Three side length of triangle are given we need find the which value to substitute for a, b, c in Pythagoras theorem.

First we will find the squares of all length, then we will check which two square of side are equal to square of third side as per Pythagoras theorem.

Hence the two side would according be a and b and third side will become c.

For example if length of triangle is given as 6 cm, 8 cm and 10 cm.

We will first take square of all

$6^2=36\\8^2=64\\10^2=100$

Now we can see that

$36+64=100\\6^2+8^2=10^2$

Now by Pythagoras theorem.

$a^2+b^2=c^2$

Hence we can say a = 6 cm, b = 8 cm, c= 10 cm

6 0

4 years ago

Which expression is equivalent to square root 55x^7y6/11x^11y^8

Novay_Z [31]

Answer:

$\large\boxed{\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\dfrac{\sqrt5}{x^2y}}$

Step-by-step explanation:

$\sqrt{\dfrac{55x^7y^6}{11x^{11}y^8}}=\sqrt{\dfrac{55}{11}\cdot\dfrac{x^7}{x^{11}}\cdot\dfrac{y^6}{y^8}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=\sqrt{5x^{7-11}y^{6-8}}=\sqrt{5x^{-4}y^{-2}}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\=\sqrt5\cdot\sqrt{x^{-4}}\cdot\sqrt{y^{-2}}=\sqrt5\cdot\sqrt{x^{(-2)(2)}}\cdot\sqrt{y^{(-1)(2)}}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt5\cdot\sqrt{(x^{-2})^2}\cdot\sqrt{(y^{-1})^2}\qquad\text{use}\ \sqrt{a^2}=a$

$=\sqrt5\cdot x^{-2}\cdot y^{-1}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\to a^{-1}=\dfrac{1}{a}\\\\=\sqrt5\cdot\dfrac{1}{x^2}\cdot\dfrac{1}{y}=\dfrac{\sqrt5}{x^2y}$

6 0

3 years ago

Pls help!!!

Elenna [48]

Answer:

The range is {1,3,4,7}

Step-by-step explanation:

The range is the output

f = {(2,3), (5, 7), (3, 3), (5, 4), (9, 1))

The range is {3,7,3,4,1}

We normally list the numbers in order from smallest to largest and do not list duplicates

The range is {1,3,4,7}

5 0

4 years ago

PLEASE HELP!!!!

dezoksy [38]

Answer:

I beleive A is quadratic, but im not sure

Step-by-step explanation:

8 0

4 years ago

8. Marvin has a board that's 15' 3/4" long. He cuts it in half. What is the length of both boards?

Butoxors [25]

Answer:

She uses her past experiences to give us an idea of how strong women truly are. When she dose this she involves emotional situation to get the audience drown in emotionally, which draws more people to want to support. When she add the part about being a mother and the strength that involved, she was able to connect with mothers everywhere.Women's right was all about allowing women to have the rights that men had, and she uses logic by telling the audience about how both women and men were enslaved and women were able to physically keep up with the men. By explaining things the way she did she made a great case for women's rights.

Step-by-step explanation:

7 0

3 years ago