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The diagram on the right shows an isosceles triangle
EFG with vertices E(0,k), F(4,4) and G(7,8). EF
and FG have the same length.
(a) Find the value of k.

The diagram on the right shows an isosceles triangleEFG with vertices E0k F44 and G78 EFand FG have the same lengtha Find the value of k class=

Respuesta :

maforchrist

Answer:

k=1

Step-by-step explanation:

so FG and FE are equal meaning same magnitude

formula for magnitude is √{x2-x1}+{y2-y1}

(the square root is for all of it)

so use line FG since you have both points

you get √7 as magnitude

then apply it to FE

√7=√(4-0)+(4-k)

you can square both sides to remove the root and you get k=1

(when calculating magnitude the value is always absolute no regard to signs)

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