Question

45. a. Consider the following conjecture: The product of the lengths of the two legs of a right triangle is equal to the product of the lengths of the hypotenuse and the altitude to the hypotenuse. Draw a figure for the conjecture. Write the Given information and what you are to Prove.
b. Reasoning Is the conjecture true? Explain.

Answer 1

any idea how or what to do...

Answer 2

no im sorry haven't done this in a while no one in mc is helpin?

Answer 3

not so far

Answer 4

Here's a right triangle with the vertices and side lengths labeled.

Answer 5

Here is the altitude to the hypotenuse drawn and labeled.

Answer 6

"The product of the lengths of the two legs of a right triangle"
This is the product: \(ab\)

Answer 7

"product of the lengths of the hypotenuse and the altitude to the hypotenuse."
This is the product \(hc\).

Answer 8

Given:
Right triangle ABC with right angle ACB.
CD is perpendicular to AB

Prove:
\(ab = hc\)


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