Mathematics: What is the area of this triangle? a.) a=1/2(y3-y2)(x3-x1) b.) a=1/2(y3-y1)(x3-x1) c.) a=1/2(y3-y1)(x2-x1) d.) a=1/2(y2-y1)(x3-x1) e.) a=1/2(y2-y1)(x2-x1)

What is the area of this triangle? a.) a=1/2(y3-y2)(x3-x1)

batmanmarie2004

11.06.2020

The answer is D.) A=1/2(y2-y1)(x3-x1).
Explanation:
Area of a triangle equals side×height.
In this case height is x3-x1, and side y2-y1.

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andy6128

11.06.2020

Option D is correct

Step-by-step explanation:

$\text{Given a triangle whose vertices are }(x_1, y_1), (x_1, y_2) , (x_3, y_3)$

we have to find the area of triangle.

As we know area of triangle can be calculated by the formula

$\frac{1}{2}\times base\times height$

Base of triangle is the line joining the coordinates (x_1, y_1), (x_1, y_2) whose length is = (y_2-y_1)

Now height of triangle is the perpendicular line from the vertex (x_3, y_3) whose length is (x_3-x_1)

Hence, area of triangle is

$\frac{1}{2}\times (y_2-y_1)\times (x_3-x_1)$

Option D is correct

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abi806

14.04.2021

1:4

Step-by-step explanation:

A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or 1:4.

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