SOLUTION: Two sides of the triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle. Please explain.

Question 1116887: Two sides of the triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle. Please explain.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
the height forms two right triangles, let their bases be x and y
:
25^2 +x^2 = 26^2
:
x^2 = 26^2 - 25^2 = 51
:
x = 7.14 approximately 7.1
:
25^2 +y^2 = 27^2
:
y^2 = 27^2 - 25^2 = 104
:
y = 10.19 approximately 10.2
:
Base of triangle = 7.1 + 10.2 = 17.3
:
Area of triangle = (1/2) * 17.3 * 25 = 216.25 square units
:

RELATED QUESTIONS
Two sides of a triangle are 26 and 27, while the height to the third side is 25. Find the (answered by ikleyn)

if 17 and 26 are the lengths of two sides of a triangle what is the range of possible... (answered by Edwin McCravy)

the measures of the two sides of atriangle are 4 and 5 units find the third side so that... (answered by rfer)

As isosceles triangle has two sides of equal length. If the third side of an isosceles... (answered by Fombitz)

Two sides of a triangle are 3ft and 6ft longer then the third side. If the perimeter of... (answered by lwsshak3,Alan3354)

Two sides of a triangle measure 80 cm and 64 cm. The area of the triangle is 2,262 cm.... (answered by Alan3354)

if two sides of a triangle are 1 and 3 , the third side is... (answered by richard1234)

two sides of an isosceles triangle are 8 and 16. what is the third... (answered by Alan3354,richard1234)

How do I find the range for the measure of the third side of a triangle when given two... (answered by Alan3354)