Question

The accompanying diagram shows a triangular plot of land that is part of Fran's garden. She needs to change the dimensions of this part of the garden, but she wants the area to stay the same. She increases the length of side AC to 22.5 feet. If angle A remains the same, by how many feet should side AB be decreased to make the area of the new triangular plot of land the same as the current one?

          The accompanying diagram shows a triangular plot of land that is part
of Fran's garden. She needs to change the dimensions of this part of
the garden, but she wants the area to stay the same. She increases the
length of side AC to 22.5 feet. If angle A remains the same, by how
many feet should side AB be decreased to make the area of the new
triangular plot of land the same as the current one?

The accompanying diagram shows a triangular plot of land that is part
of Fran's garden. She needs to change the dimensions of this part of
the garden, but she wants the area to stay the same. She increases the
length of side AC to 22.5 feet. If angle A remains the same, by how
many feet should side AB be decreased to make the area of the new
triangular plot of land the same as the current one?

Added by Eric A.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert James Kiss

08/20/2020

Step 1

The area of a triangle can be calculated using the formula: Area = (1/2) * base * height. In this case, the base is AB and the height is the perpendicular distance from point B to side AC. Show more…

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The accompanying diagram shows a triangular plot of land that is part of Fran's garden. She needs to change the dimensions of this part of the garden, but she wants the area to stay the same. She increases the length of side AC to 22.5 feet.If angle A remains the same,by how many feet should side AB be decreased to make the area of the new triangular plot of land the same as the current one? 20 A36.87 18ft