How do I do this task (analytic geometry)?

I don't understand how to go about this. For an equilateral triangle, you calculate the dot product, but what do you do for an equilateral triangle? How do you do this with the area?

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gauss58
1 year ago

1)

Calculate the sides of the triangle and check whether AC=BC is.

2)

Determine the vectors AB and AC and capture the cross product AB x AC.

A = (1 / 2) * │AB x AC│

Place 35 and convert to z (z = 7).

gauss58
1 year ago
Reply to  KiwisKatze

AB x AC = (8│6│0) * (4│3│z)

AB x AC = (6 * z – 0 * 3│0 * 4 – 8 * z│8 * 3 – 6 * 4) = (6 * z│-8 * z│0)

A = (1 / 2) * │(6 * z│-8 * z│0)

A = (1 / 2) * √(6 * z)2 + (8 * z)2 + 02)

A = (1 / 2) * √(100 * z2)

A = (1 / 2) * 10 * z

A = 5 * z

35 = 5 * z

z = 7