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givi [52]
3 years ago
14

Prove that this is a right triangle, show work please!!!! sides 2√5 2√5 2√10

Mathematics
2 answers:
maria [59]3 years ago
7 0

Answer:

(2 * sq root 5)^2 = 20

20 + 20 = 40

2*sq root(10)^2 = 40

The sum of both sides squared = hypotenuse squared.

By the Pythagorean Theorem, we know that this is a right triangle.


Step-by-step explanation:


dlinn [17]3 years ago
6 0

The triangle has sides a,b,c such that

a = 2*sqrt(5), b = sqrt(5), and c = 2*sqrt(10)

Square each value

a = 2*sqrt(5)

a^2 = (2*sqrt(5))^2

a^2 = 2^2(sqrt(5))^2

a^2 = 4*5

a^2 = 20

b^2 = 20 for similar reasons as side 'a'

c = 2*sqrt(10)

c^2 = (2*sqrt(10))^2

c^2 = 2^2*(sqrt(10))^2

c^2 = 4*10

c^2 = 40

------------------------------------

Using the pythagorean theorem, we see that

a^2 + b^2 = c^2

20 + 20 = 40

40 = 40

So the initial equation a^2 + b^2 = c^2 is true making the triangle with sides a,b,c defined above to be a right triangle

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Step 2: <u>Explain/define.</u>

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