Is 33,44,55 a right triangle?

Mathematics

2 answers:

Paul [167]3 years ago

6 0

Answer:

Yes!

Step-by-step explanation:

We know that right triangles follow the Pythagorean Theorem, where

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

So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.

$33^{2} + 44^{2} = 55^{2}$

If this works, we know it's a right triangle.

1089 + 1936 = 3025

3025 = 3025

It worked! It's a right triangle!!

dybincka [34]3 years ago

4 0

Yes, a triangle who's sides are 33 cm, 44 cm, and 55 cm is a 3–4–5 right triangle.

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Bad White [126]

Answer:

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Step-by-step explanation:

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3 years ago

Find the distance points p (3,6) and q (7,3) to the nearest tenth?

Vladimir79 [104]

<h3>Answer: 5</h3>

=========================================================

One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.

A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.

a^2+b^2=c^2

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c^2 = 25

c = sqrt(25)

c = 5

This is the length of PQ

-----------------------------------

Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).

$d = \text{Distance from P to Q}\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(3-7)^2+(6-3)^2}\\\\d = \sqrt{(-4)^2+(3)^2}\\\\d = \sqrt{16+9}\\\\d = \sqrt{25}\\\\d = 5\\\\$