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2 years ago

What is the Pythagorean theorem

Mathematics

2 answers:

kiruha [24]2 years ago

7 0

Answer:

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC2 = AB2 + AC2. Here, AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

Pythagoras Theorem Equation

The Pythagoras theorem equation is expressed as, c2 = a2 + b2, where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs. Hence, any triangle with one angle equal to 90 degrees produces a Pythagoras triangle and the Pythagoras equation can be applied in the triangle.

Misha Larkins [42]2 years ago

6 0

Answer:

<h2>The Pythagoras theorem states that:</h2><h3>The sum of the squares on the edges of a right triangle angle is equal to the squareon the hypotenuse.</h3>

<h3>Mathematically stated as: a² +b² = c²</h3>

<h3>Hope this helps.</h3><h3>Good luck ✅.</h3><h2 />

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What is an equation of the line perpendicular to y=-x-2 and through (-2, 4)?

Salsk061 [2.6K]

Answer: y = x + 6

Step-by-step explanation:

$\mathrm{Find\:the\:line\:}\mathbf{y=mx+b}\mathrm{\:perpendicular\:to\:}y=-x-2\mathrm{\:that\:passes\:through\:}\left(-2,\:4\right)$

$\mathrm{For\:a\:line\:equation\:for\:the\:form\:of\:}\mathbf{y=mx+b}\mathrm{,\:the\:slope\:is\:}\mathbf{m}$

$m=-1$

$\mathrm{The\:perpendicular\:slope\:is\:the\:negative\:reciprocal\:of\:the\:given\:slope}$

$\left(-1\right)m_p=-1$

$\frac{\left(-1\right)m_p}{-1}=\frac{-1}{-1}$

$m_p=1$

$\mathrm{Compute\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:for\:slope\:m=}1\mathrm{\:and\:passing\:through\:}\left(-2,\:4\right)$ $\mathrm{Plug\:the\:slope\:}1\mathrm{\:into\:}y=mx+b$

$y=x+b$

$\mathrm{Plug\:in\:}\left(-2,\:4\right)\mathrm{:\:}\quad \:x=-2,\:y=4$

$4=\left(-2\right)+b$

$-2+b=4$

$\mathrm{Add\:}2\mathrm{\:to\:both\:sides}$

$-2+b+2=4+2$

$\text{Simplify}$

$b=6$

$\mathrm{Construct\:the\:line\:equation\:}\mathbf{y=mx+b}\mathrm{\:where\:}\mathbf{m}=1\mathrm{\:and\:}\mathbf{b}=6$

$y=x+6$

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2 years ago

What is 17 3/2 - 5 100/8

LuckyWell [14K]

Answer: -72/8 OR -9 <---(SIMPLIFIED)

Hope this helps, have a great day/night!

~IFoundJiminsLostJams~

Step-by-step explanation:

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3 years ago

Read 2 more answers

The region R enclosed between the graph of the function y=x^2−4x+5 and the x-axis for 0≤x≤4 is partitioned into four subinterval

Marina CMI [18]

Answer:

9.00 square units

Step-by-step explanation:

The width of the interval is 4 − 0 = 4. Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.

The subintervals are:

0 ≤ x ≤ 1

1 ≤ x ≤ 2

2 ≤ x ≤ 3

3 ≤ x ≤ 4

MRAM is midpoint rectangular approximation method. So we use the midpoints of each interval to find the height of the rectangle:

f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25

f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25

f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25

f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25

So the total approximate area is:

A = 3.25 + 1.25 + 1.25 + 3.25

A = 9.00

Graph: desmos.com/calculator/x8dcibqszo

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3 years ago

Read 2 more answers

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Vsevolod [243]

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