coordinate help again
the first is the same as last one, except you solve for a side instead of the longer slant side^2 + side^2 = slant^2 s^2 + 1^2 = root(2)^2 s^2 + 1 = 2
this is a special one, if the sides are the same , and the slant is root 2 times the side length, it is a 45-45-90 triangle
hmm ok?
im lost
solve s^2+1^2=root(2)^2 s^2 + 1 = 2 s^2 = 1 s=1
the sides are in a ratio of 1 to 1 to root (2), it is a 45-45-90 triangle, as an aside
remember that for a right triangle.. a^2 + b^2 = c^2 a and b are the sides and c is the hypotenuse
so 1 is th emissing length
s^2+1=2?
yeah s is a variable i chose for the missing side
okay okay by for c=2 its sqrt right?
\[c=\sqrt{2}\] \[c^2=[\sqrt{2}]^2=2\]
?
pluggin in you get a^2 + b^2 = c^2 a^2 + 1 = 2
a=1?
The thing to remember is for any right triangle... the sum of the squares of the two sides, 'a' and 'b' is the same as the square of the hypotenuse a^2 + b^2 = c^2
here they give you a side length, and the hypotenuse length , putting those in you get a^2 + 1^2 = 2 a^2 = 1 a=1
so A is the correct answer choice?
yes
you just have to know the a^2+b^2=c^2, the rest is just putting in the values ad solving for the missing one, here it is 1
okay thanks and what about the other question
THe figure in the second has pairs of vertical angles where the diagonals cross recall vertical angles are the same measure, (opposite sides of an x are vertical angles) so you can set those equal
yeah
4x - 2 = x + 28 and 4y - 7 = y + 14
that's it, just solve for the x and y values
10 and 7?
yep
thank you so much
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