Segment bd is an altitude of triangle abc. find the area of the triangle. triangle abc with altitude bd is shown. point a is at 2, 1. point b is at negative 1, 4. point c is at 2, 6. point d is at 2, 4. a.7.5 b.9.5 c.10 d.15

A. 7.5

Step-by-step explanation:

In triangle ABC, BD is the altitude of the triangle which means BD is its height and AC is its base.

We know that B(-1,4) and D(2,4), therefore we can find height BD using the distance formula:

BD =

Now, we will find the base AC:

Area of the triangle = 1/2 * base * height

Area of ABC = 1/2 * AC * BD = 1/2 * 5 * 3 = 7.5

Therefore, the area of ABC is 7.5.

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66answer:

step-by-step explanation:

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x