Question

Indicate the equation of the given line in standard form. Show all of your work for full credit.

The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).

Answer 1

Answer:  24 sq units is the area of triangle.

Step-by-step explanation:

Given , (x1 , y1) = (-1, 1),  (x2 , y2) = (3, 5) ,  (x3, y3) = (5, -5)

Using the Formula :

Area of triangle =  $\[\frac{1}{2}(x1(y2-y3) + x2(y3-y1) + x3(y1 -y2))\]$

    $\[=\frac{1}{2}(-1(5-(-5)) + 3(-5-1) + 5(1-5)) \\=\frac{1}{2}(-10 -1 8 -20) \\=\frac{1}{2}(-48) = -24\]$

Area cannot be negative. We only consider the numerical value of answer. Therefore, area of triangle = 24 sq units.

For more area of triangle related question:

https://brainly.com/question/14366937

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