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Agata [3.3K]
3 years ago
13

Can I get some help on this math problem

Mathematics
1 answer:
pogonyaev3 years ago
4 0

Answer:

x=3\sqrt{5}

Step-by-step explanation:

<u>Right Triangles</u>

Right triangles have one of its interior angles with a measure of 90°.

In right triangles the Pythagora's Theorem is satisfied.

Being c the longest side (hypotenuse), a and b the shorter sides (the legs), then:

c^2=a^2+b^2

We have modified the image to include some known data. Both triangles are congruent since they share one side, have a right angle, and have the same base length.

This means the value of x can be calculated as the hypotenuse of the triangle 3-6-x:

x^2=3^2+6^2=9+36=45

x=\sqrt{45}=\sqrt{9*5}

\boxed{x=3\sqrt{5}}

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