SOLUTION: Prove the following theorem:
If the diagonals of a convex quadrilateral are perpendicular to each other, then the area of the quadrilateral equals one-half the product of the leng
Algebra.Com
Question 711330: Prove the following theorem:
If the diagonals of a convex quadrilateral are perpendicular to each other, then the area of the quadrilateral equals one-half the product of the lengths of the diagonals
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Hint: Break up the quadrilateral into 4 right triangles. Find the area of each right triangle using the formula A = (b*h)/2 and then add up the individual areas to get the overall area for the quadrilateral.
RELATED QUESTIONS
a) Prove the diagonals of a cyclic quadrilateral bisect each other
b) prove if the... (answered by richard1234)
Write the proof of the following theorem: if a quadrilateral is a kite,
then its... (answered by Edwin McCravy)
Theorem 3. the diagonals of a rhombus are perpendicular.
Given: Rhombus ROSE
Prove:... (answered by ikleyn)
how to prove this theorem..
Theorem 7.5 If the diagonal of a quadrilateral bisect each (answered by Theo)
If the diagonals of a parallelogram are perpendicular to each other prove that it is a... (answered by MathLover1)
How do you prove the following theorem.
If both pairs of an opposite sides of a... (answered by MathLover1)
Answer each of the following T (true) or F (false). If FALSE, provide a counterexample (a (answered by Jalisa.)
prove that if the diagonals of a parallelogram are perpendicular, then the parallelogram... (answered by robertb)
The question asks: What type of figure must a quadrilateral be if its diagonals are... (answered by stanbon)