Question

geometry question please help

Answer 1

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Answer 2

Let's start by finding the lengths of the sides of the triangle with the 45 degree angle. Since it's a right triangle with one angle of 45 degrees, the third angle must be 180 - 90 - 45 = 45 degrees. Therefore it is an equilateral triangle, and both of the sides we don't know the length of must be equal.
Now we can use the Pythagorean Theorem: a^2 + b^2 = c^2. Since a = b, We get 2*a^2 = 8^2 = 64 => a^2 = 32 => a = sqrt(32) = sqrt(2)*sqrt(16) = 4*sqrt(2)

Since the other triangle is a right triangle with one angle of 30 degrees, the third angle must be 180 - 90 - 30 = 60 degrees. This is called a 30-60-90 triangle and has the special property that if the side opposite the 30 degree angle is of length a, the hypotenuse of of length 2a and the side opposite the 60 degree angle is of length sqrt(3)*a

So then if a = 4*sqrt(2), x = 2*a = 8*sqrt(2) and y = 4*sqrt(2)*sqrt(3) = 4*sqrt(6)

Answer 3

thankyou so much @Blacksteel

Answer 4

could you help me with another one?

Answer 5

Probably