**Answer:**

The length of the sides of a triangle are in the ratio 3:4:5 and its perimeter is 144 cm. Find the area of the triangle and the height corresponding to the longest

The diameter is 10 so it would be pi•radius squared 3.14•52sq or 3.14•10•2=78.54 the base of the circle is 78.54

(4,2) is is the distance from these coordinates

To find the coordinates of the vertex, you use the formula x=-b/(2a)

in this case, a is 6, b is 5

x=-5/12

Next, find out the value of y when x is -5/12

y= 6(-5/12)^2 +5(-5/12) -6

y=-23/8

so the vertex is at (-5/12, -23/8)

Please double check the calculation by yourself

If all the angles are 60 degrees, this is an equilateral triangle. This means that** all the sides have the same lengths**. Whatever length side a is, b and c have the same length.

Hope this helps :)