Question

(Problem on the image.)...

Answer 1

17.3 is correct answer

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Answer 2

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

Pythagorean Theorem states the in a right angled triangle the square of the long side is equal to the sum of the squares of the other two sides.

That equation is : a² + b² = c²

• a = Adjacent side
• b = Another adjacent side
• 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