3 years ago

Find the lengths of all four sides : P (2,2), Q (1,-3),R (-4,2),S (-3,7)

Mathematics

1 answer:

Sveta_85 [38]3 years ago

4 0

PQ = sqrt [(-3-2)^2 + (1-2)^2] = sqrt 26 = 5.1

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Step-by-step explanation:

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3 years ago

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Leto [7]

<h3>Answer: $2\sqrt{5}$ </h3>

======================================================

Explanation:

Both legs are the same length, as indicated by the tickmark.

a = $\sqrt{10}$
b = $\sqrt{10}$
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Use the pythagorean theorem to solve for x

$a^2+b^2 = c^2\\\\( \sqrt{10} )^2 + ( \sqrt{10} )^2 = x^2\\\\10 + 10 = x^2\\\\x^2 = 20\\\\x = \sqrt{20}\\\\x = \sqrt{4*5}\\\\x = \sqrt{4}*\sqrt{5}\\\\x = 2\sqrt{5}\\\\$

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