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OleMash [197]
2 years ago
12

This is confusion please help

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
4 0

Answer:

c = 5√5

Step-by-step explanation:

When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"

First, let's understand the basic terms we use to describe the sides of a triangle:

we can call one leg "a", the other leg "b" and the slanted side "c"

("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)

the pythagorean theorem:

a² + b² = c²

here, our "a" is 5, our "b" is 10 {and we don't know what c is}

let's try plugging these values into our formula:

a² + b² = c²

5² + 10² = c²

25 + 100 = c²      

125 = c²

now, we know what c² is--but we want to know c,

so we must take the square root of both sides

√125 = √c²

√125 = c

now, while √125 <em>is </em>our answer, we can simplify further!

this is because 125 can be made up of 5 · 25

so, \sqrt{125} = \sqrt{5*25}

and

\sqrt{5*25}=\sqrt{5}*\sqrt{25}

we can take out the square root of 25 (5):

=\sqrt{5}*5

we write this as such: 5\sqrt{5}

so, in simplest radical form, c = 5√5

(√125)

hope this helps!! have a lovely day :)

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