Hiro is creating a smaller scaled replica of a triangular canvas.

triangles abe and acd on a coordinate plane with point a at 1 comma 0, point c at 2 comma 3 and point d at 5 comma 0, point b is between points a and c and point e is between points a and d

which of the following expressions will him determine the length of segment ab?

ac equals ad times ab over ac
ab equals ae times ad over ab
ab = ad
ab = ac

step-by-step explanation:

your answer is a

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

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