Question

Help on my geometry please ! :(

Answer 1

Answer:
`y = 6√(2)`

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Step-by-step explanation:

The value of x = 6 since the two legs of a 45-45-90 triangle are always the same length. This triangle is isosceles.

The hypotenuse of any 45-45-90 triangle is exactly
`√(2)` times larger compared to the leg length.

This means,

`y = x√(2)\\\\y = 6√(2)`

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We can use the pythagorean theorem to confirm this

`a^2 + b^2 = c^2\\\\6^2 + x^2 = y^2\\\\6^2 + 6^2 = y^2\\\\72 = y^2\\\\y^2 = 72\\\\y = √(72)\\\\y = √(36*2)\\\\y = √(36)*√(2)\\\\y = 6√(2)\\\\`