Question

Please answer!!! I’ll make brainliest

Answer 1

Answer:

x = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = $\sqrt{36}$ = 6

Answer 2

Answer:

6

Step-by-step explanation

Ordered triples only apply to right triangles

3,4,5 is an ordered triple

multiply (3,4,5) by 2 and you get (6,8,10)

the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.

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That is just a way to do it quickly and it does not always apply.

the formula for Pythagorean and theorem is a^2+b^2=c^2

a=leg of the triangle

b=other leg of teh triangle

c=hypotenuse(longest leg)

as we can see here 10 is the longest so it is the hypotenuse.

So then we can assume that 8 is a leg of the triangle

so we insert that into the equation

a^2+8^2=10^2

subtract 8^2 from both sides

a^2=10^2-8^2

a^2=100-64

a^2=36

square root both sides

a=√(36)

a=6

Hope that helps :)