Area of a triangle. Find the exact area of a triangle with a base of sqrt 30 meters and a height of sqrt of 6 meters. Thank-you
Area of triangle = 1/2 b * h
sqrt of 30 = 5.4772255
sqrt of 6 = 2.4494897
A = 0.5 * 5.4772255 * 2.4494897
A = http://www.google.com/search?source=ig&hl=en&rlz=1G1GGLQ_ENUS374&q=0.5+*+5.4772255+*+2.4494897&aq=f&aqi=h1&aql=&oq=&gs_rfai=CtyXTcrU_TMCjCYvwygS59LH_CwAAAKoEBU_QauMo
Thanks a bunch MS. SUE!!!
You're very welcome, Jonie.
To find the area of a triangle, you can use the formula:
Area = (base * height) / 2.
In this case, the base of the triangle is √30 meters and the height is √6 meters.
Plug in these values into the formula:
Area = (√30 * √6) / 2.
To simplify this expression, you can multiply the square roots together:
Area = √(30 * 6) / 2.
Now, you can simplify the multiplication inside the square root:
Area = √180 / 2.
Since 180 is a perfect square, it can be simplified further:
Area = √(36 * 5) / 2.
Now, pull out the perfect square from the square root:
Area = (6√5) / 2.
Finally, divide the numerator by the denominator:
Area = 3√5 square meters.
Therefore, the exact area of the triangle is 3√5 square meters.