Using Pythagoras theorem, we know that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle
<h3>How to use Pythagoras theorem to prove a right triangle?</h3>The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
Therefore,
c²= a²+ b²
where
Therefore,
3² + 4² = 5²
Hence,
Knowing that 3² + 4² = 5², draw the 3-foot side and the 4-foot side with a right angle between them. The 5-foot side will fit to form a right triangle
learn more on Pythagoras's theorem here: brainly.com/question/20462170
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Use binomial theorem to expand
.
The square of is 10.
Factor . Rewrite the square root of the product
as the product of square roots
.
Multiply and
to get 2.
Multiply -2 and 2 to get -4.
The square of is 2.
Add 10 and 2 to get 12.