Answer :
An isosceles triangle has two congruent sides. If you are given the area of an isosceles triangle and the length of the base, you are to determine the height if the triangle.
A = 0.5*b*h
125 = 0.5*14*h
h = 17.86 ft.
The h is the line from the upper vertex of the triangle to the center of the base. So, this also acts as a bisector of the base, forming two right triangles. To find the length of the side, we apply the pythagorean theorem:
c = square root (a^2 + b^2)
where c is the hypotenuse, and a and b are the other two shorter sides. c is the unknown side, a = height = 17.86 and b = the half of the base = 7
c= square root (17.86^2 + 7^2)
c = 19.2 ft
A = 0.5*b*h
125 = 0.5*14*h
h = 17.86 ft.
The h is the line from the upper vertex of the triangle to the center of the base. So, this also acts as a bisector of the base, forming two right triangles. To find the length of the side, we apply the pythagorean theorem:
c = square root (a^2 + b^2)
where c is the hypotenuse, and a and b are the other two shorter sides. c is the unknown side, a = height = 17.86 and b = the half of the base = 7
c= square root (17.86^2 + 7^2)
c = 19.2 ft
The height of the triangle will be,
A = 0.5*b*h
125 = 0.5*14*h
h = 17.86 ft.
We apply the Pythagoreans theorem:
c = square root (a^2 + b^2)
Where c is the hypotenuse, and a and b are the other two shorter sides. C is the unknown side, a = height = 17.86 and b = the half of the base = 7
c= square root (17.86^2 + 7^2)
c = 19.2 ft.
What is an isosceles triangle?
An isosceles triangle has two equal sides and two equal angles. The equal sides are called legs, and the third side is the base. The two angles touching the base (which are congruent, or equal) are called base angles.
Thus, option A is true, as the length of each leg will be 19.2 ft.
Learn more about an isosceles triangle here,
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