Articles by "Area"
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11:49 PM ,

Problem: How to find the value of x if the area of the triangle formed by (10, 2),(-3, -4),(x, 1), is 5 square units

(10,2),(-3,-4),(x,1)\,

Solutions:

The area of triangle is
\frac{1}{2}|[10(-4-1)-3(1-2)+x(2+4)]|=5\,
\frac{1}{2}|-50+3+6x|=5\,
6x-47=10\,

x=\frac{57}{6}\,
x=\frac{19}{2}\,
Therefore, the value of x is 19/2 units.

List of Similar Problems with Complete Solutions

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For any Questions, Clarifications and any violent Reactions use the comment section below. I'll be much willing to assist you.

credit: Todd©2013 www.PinoyBIX.org
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8:38 PM ,

Problem: How to find the area of the triangle formed by the points (2, 4),(2, 6),(2+sqrt{3}, 5)

 (2,4),(2,6),(2+\sqrt{3},5)\,

Solutions:

The formula for finding the area of the triangle formed by
(x_1,y_1),(x_2,y_2),(x_3,y_3)\, is
 \frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\,
Applying the formula,we get

\frac{1}{2}|[2(6-5)+2(5-4)+(2+\sqrt{3})(4-6)]|\,
\frac{1}{2}|2+2-4-2\sqrt{3}|\,
\frac{1}{2}|-2\sqrt{3}|\,
Therefore, the area of the triangle is \sqrt{3}\,.

List of Similar Problems with Complete Solutions

NOTE:


For any Questions, Clarifications and any violent Reactions use the comment section below. I'll be much willing to assist you.

credit: Todd©2013 www.PinoyBIX.org
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8:25 PM ,

Problem: How to find the area of the triangle formed by the points (1, 3),(3, -1),(-5, -5)

 (1,3),(3,-1),(-5,-5)\,

Solutions:

The formula for finding the area of the triangle formed by
 (x_1,y_1),(x_2,y_2),(x_3,y_3)\, is
 \frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\,
Applying the formula,we get

\frac{1}{2}|[1(-1+5)+3(-5-3)-5(3+1)]|\,
\frac{1}{2}|4-24-20|\,
\frac{1}{2}|-40|\,
Therefore, the area of the triangle is 20.

List of Similar Problems with Complete Solutions

NOTE:


For any Questions, Clarifications and any violent Reactions use the comment section below. I'll be much willing to assist you.

credit: Todd©2013 www.PinoyBIX.org
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12:13 AM ,

How to find the area of the triangle formed by the points (5, 2),(-9, -3),(-3, -5).

(5,2),(-9,-3),(-3,-5)\,

Solutions:

The formula for finding the area of the triangle formed by
 (x_1,y_1),(x_2,y_2),(x_3,y_3)\,  is
\frac{1}{2}|[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]|\,

Applying the formula,we get
\frac{1}{2}|[5(-3+5)-9(-5-2)-3(2+3)]|\,
\frac{1}{2}|10+63-15|\,
\frac{1}{2}|58|\,
Therefore, the area of the triangle is 29.

List of Similar Problems with Complete Solutions

NOTE:


For any Questions, Clarifications and any violent Reactions use the comment section below. I'll be much willing to assist you.

credit: Todd©2013 www.PinoyBIX.org

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