The area of an isosceles triangle EFG is 60m2 and EF=EG=13m.find the measure of FG?
Hint - think of a 5-12-13 right triangle.
4.3
To find the measure of FG in an isosceles triangle EFG where EF = EG = 13m and the area is 60m², we can use the formula for the area of a triangle.
The formula for the area of a triangle is:
Area = (1/2) * base * height
In the case of an isosceles triangle, the two equal sides are considered the base (EF and EG), and the height is the perpendicular distance from the base to the opposite side (FG).
Given that the area is 60m², we can write the equation as:
60 = (1/2) * EF * FG
Substituting the known values:
60 = (1/2) * 13 * FG
Now, solve for FG:
Multiply both sides of the equation by 2:
120 = 13 * FG
Divide both sides by 13:
FG = 120 / 13
Calculating this value, we find that FG is approximately 9.23 meters.