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3 years ago

Can u help solve this step by step?

Mathematics

1 answer:

Mademuasel [1]3 years ago

7 0

Answer:

$\sqrt{28}$

Step-by-step explanation:

It is given that the triangle (QRS) is right, thus one can use the Pythagorean theorem to solve this problem. The Pythagorean theorem states,

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

Where (a) and (b) are the legs or the sides adjacent to the right angle and (c) is the hypotenuse or the side opposite the right angle. The unknown side in the triangle is a leg, thus, let (b) represent this value. Substitute in the given values and solve,

$(6)^2+(b)^2=(8)^2\\\\36+b^2=64\\\\b^2=28\\\\b=\sqrt{28}$

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check the picture below.

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