Question

I need help with this problem! I Don't know how to solve this problem! Please help me.

Answer 1

so.. notice the ratios there,
those ratios are good, when the triangle is
made up of, two 45 degree angles,
and one 90
thus is called a 45-45-90 angle

the two legs are the same length
and the hypotenuse, or longest leg,
whatever the others are, times square root
of 2

so.. one could say that
`\bf 16=x√(2)\implies \cfrac{16}{√(2)}=x \\ \quad \\ \textit{now, we could rationalize that by} \\ \quad \\ \cfrac{16}{√(2)}\cdot \cfrac{√(2)}{√(2)}=x\implies \cfrac{16√(2)}{(√(2))^2}=x\implies \cfrac{16√(2)}{2}=x\implies 8√(2)=x`

Answer 2

You would do:
2x^2 = 16^2
X^2 = 128
X = 8 root2