marcey2k16
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I need help on this.

Find the missing lengths of the triangle.
AB= 8 cm


Find AC and BC.
(Round to the nearest thousandth as needed.)

I need help on thisFind the missing lengths of the triangleAB 8 cmFind AC and BCRound to the nearest thousandth as needed class=

Respuesta :

iGreen
For 45, 45, 90 angled triangles, the two legs are equal to 'x', and the hypotenuse is equal to [tex]\sf x\sqrt{2}[/tex]. Since we know the length of the hypotenuse, we can set this equal to it:

[tex]\sf x\sqrt{2}=8[/tex]

Divide the square root of 2 to both sides:

[tex]\boxed{\sf x\approx 5.657}[/tex]

So the length of both AC and BC is approximately 5.657.
ProfessorM
Well, that triangle is an isosceles, it's also a right triangle. The BC side is the hypotenuse and the sides of unknown length are equal.
We have the Pythagorean theorem:
BC ^ 2 = CA ^ 2 + CB ^ 2
As CA = CB
BC ^ 2 = 2 * CA ^ 2
CA = CB = square root (BC ^ 2/2)
Good luck!
M.