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Triss [41]
3 years ago
5

Help please! Find x

Mathematics
2 answers:
zloy xaker [14]3 years ago
6 0

Answer:

6√2

Step-by-step explanation:

A 45 45 90 right triangle, so ratio of leg : leg: hypotenuse = a: a : a√2 (a = value of leg)

Given: leg = 6

So the ratio of leg : leg: hypotenuse = 6 : 6 : 6 √2

Answer:

x = 6√2

never [62]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x

and the exact value for sin45° = \frac{1}{\sqrt{2} }, then

sin45° = \frac{opposite}{hypotenuse} = \frac{6}{x}

Multiply both sides by x

x × sin45° = 6 ( divide both sides by sin45° )

x = \frac{6}{sin45} = \frac{6}{\frac{1}{\sqrt{2} } } = 6\sqrt{2}

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