Mathematics: Please help geomety The height of △XYZ is the distance from point Yto XZ←→. Find the area of the triangle. Round your answer to the nearest tenth, if necessary.

Please help geomety The height of △XYZ is the

thomasgnathan

11.02.2022

Step-by-step explanation:

A triangle is a polygon shape with three sides. There are different types of triangles such as scalene, obtuse, equilateral, isosceles etc.

The area of a triangle is given by:

Area = (1/2) * base * height

For triangle XYZ, the base = |XZ| and the height = |AY|

We can calculate the base and height using the formula for the distance between two points $A(x_1,y_1)\ and\ B(x_2,y_2)\ on \ the\ coordinate\ plane$

$|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Therefore:

$Base=|XZ|=\sqrt{(0-(-2))^2+(2-6)^2} =\sqrt{20} \\\\Height=|AY|=\sqrt{(3-(-1))^2+(6-4)^2}=\sqrt{20}$

Area = (1/2) * base * height = (1/2) * √20 * √20 = 10.

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