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3 years ago

(Problem on image.)...

Mathematics

1 answer:

ANEK [815]3 years ago

7 0

Hey there! :)

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem!

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in!

a² + b² = c² → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

$\sqrt{b^2} = \sqrt{300}$

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~

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