Question

Find the value of X. Write your answer in simplest form.
X=__

Answer 1

Answer:

$x=10$

Step-by-step explanation:

A triangle's hypotenuse is the side opposite of the 90 degree angle, which is x. And the other two sides are the two legs of the triangle.

The pythagorean theorem tells us:

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

Where c is the hypotenuse and a,b are the two legs

Plugging the information into the formula, gives us:

$c^2=a^2+b^2\\x^2=(5\sqrt{2} )^2+(5\sqrt{2} )^2\\x^2=50+50\\x^2=100\\x=\sqrt{100}\\ x=10$

*Note: We used the property of radical  $\sqrt{a} \sqrt{a} =a$  to simplify

Answer 2

The value of x which is the hypotenus of the triangle is 10

How to find missing side of a right angle triangle using Pythagoras theorem

Hypotenus ² = opposite² + adjacent²

Hyp = x

opp = 5√2

adj = 5√2

• substitute into the equation

x² = (5√2)² + (5√2)²

x² = 50 + 50

x² = 100

x = √100

x = 10

Learn more about Pythagoras theorem:

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