Comments on: How do you fine the area of a triangle given only the hypotenuse and the height or base? http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base Fri, 03 Feb 2012 13:07:59 -0500 http://wordpress.org/?v=2.8.4 hourly 1 By: Mr.Math http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base/comment-page-1#comment-1793 Mr.Math Tue, 02 Feb 2010 23:31:59 +0000 http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base#comment-1793 Hello! A=1/2bh We need to know the base and height. If we're given the base and height, we can multiply it and divide by 2 (: For your question: We need to find the base for your question. We use Pythagorean Theorem: a^2+b^2=c^2 7^2+b^2=10^2 49+b^2=100 b^2=51 b=√51 b=7.141428429 The base would be around 7 So now we apply the formula: A=1/2(7)(7) A=24.5 Hope this helps! Sincerely, Mr.Math Message me if you need more help.<br><b>References : </b><br> Hello!

A=1/2bh

We need to know the base and height.

If we’re given the base and height, we can multiply it and divide by 2 (:

For your question:

We need to find the base for your question.

We use Pythagorean Theorem:

a^2+b^2=c^2

7^2+b^2=10^2
49+b^2=100
b^2=51
b=√51
b=7.141428429

The base would be around 7

So now we apply the formula:

A=1/2(7)(7)
A=24.5

Hope this helps!

Sincerely,
Mr.Math

Message me if you need more help.
References :

]]> By: I Just Lost the Game http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base/comment-page-1#comment-1792 I Just Lost the Game Tue, 02 Feb 2010 23:12:59 +0000 http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base#comment-1792 a² + b² = c² 7² + b² = 10² 49 + b² = 100 b² = 51 b = √51 Now that you know the length of the third side, the area of a triangle formula is A = 1/2bh A= 1/2 (√51) (7) A= 3.5(√51) A = 3.5(7.14142843) A = 24.9949995, or about 25.<br><b>References : </b><br> a² + b² = c²

7² + b² = 10²

49 + b² = 100

b² = 51

b = √51

Now that you know the length of the third side, the area of a triangle formula is A = 1/2bh

A= 1/2 (√51) (7)

A= 3.5(√51)

A = 3.5(7.14142843)

A = 24.9949995, or about 25.
References :

]]> By: Matt Rogers http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base/comment-page-1#comment-1791 Matt Rogers Tue, 02 Feb 2010 23:04:59 +0000 http://www.thearealist.com/triangle-area/how-do-you-fine-the-area-of-a-triangle-given-only-the-hypotenuse-and-the-height-or-base#comment-1791 We need to find the other length of the triangle first. By pythagoras, b^2 + 7^2 = 10^2 b = sqrt(100 - 49) b = sqrt(51) Then area = 0.5 x base x height = 0.5 x sqrt(51) x 7 = (7/2)sqrt(51) square units, or approx 25 square units of area<br><b>References : </b><br> We need to find the other length of the triangle first.

By pythagoras, b^2 + 7^2 = 10^2

b = sqrt(100 – 49)

b = sqrt(51)

Then area = 0.5 x base x height

= 0.5 x sqrt(51) x 7

= (7/2)sqrt(51) square units, or approx 25 square units of area
References :

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