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Which expression could be used to represent the area of the triangle. if the base of a...

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jeehoonisawesome | Student, Grade 9 | (Level 1) eNoter

Posted August 29, 2012 at 5:39 AM via web

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Which expression could be used to represent the area of the triangle. if the base of a triangle is 3 more that twice its height?

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 29, 2012 at 5:47 AM (Answer #1)

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The area of a triangle given the base and height is (1/2)*base*height.

If the base of the triangle is 3 more than the height, the area of the triangle is A = (1/2)*(height + 3)*height

The expression for the area of the triangle is (1/2)*(height + 3)*height

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vaaruni | High School Teacher | (Level 1) Salutatorian

Posted August 29, 2012 at 9:06 AM (Answer #2)

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given : base of a triangle is 3 more than twice its height.

Let height of a triangle be 'h' ,

then its base = 2h + 3

Area of atriangle (A) = (1/2) * base * height

=>  A = (1/2) * (2h + 3) * h

The expression for area of the triangle is

 A= (1/2)*h*(h+3)  ---> Answer 

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juliarules | Student, Grade 10 | (Level 1) eNoter

Posted August 29, 2012 at 1:03 PM (Answer #3)

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"3 more than twice its height"

so...let "h" represent height.

* = multiplication symbol

^ = to the power of...

the basic formula for finding the area of a triangle is

1/2*base*height

so...our base is "3 more than twice the height"

         which is 3+2h

1/2*(3+2h)*h -----------> the answer...

but when I keep going it can become

(3h+2h^2)/2

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najm1947 | Elementary School Teacher | (Level 1) Valedictorian

Posted August 29, 2012 at 4:26 PM (Answer #4)

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Let the height of the triangle be h

Then the base of triangle = 2h+3, 3 more than twice its height

The area of triangle = (1/2)(base*height) = (2h+3)*h/2

Area of the triangle = h^2+3*h/2

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