A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
congruent right triangles with areas of 44 square inches. Which statements are true? Check all that apply.
The area of the rectangle is 88 square inches.
The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
The triangle has a base of 11 inches and a height of 8 inches.
The rectangle has a width of 4 inches.
The area of the rectangle is 88 square inches.
The equation x(x – 3) = 44 can be used to solve for the dimensions of the triangle.
The equation x2 – 3x – 88 = 0 can be used to solve for the length of the rectangle.
The triangle has a base of 11 inches and a height of 8 inches.
The rectangle has a width of 4 inches.
2 answers:
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Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the measure of angle ABC
we know that
----> by alternate interior angles
step 2
Find the measure of angle x
we know that
The <u><em>Exterior Angle Theorem</em></u> states that The exterior angle of a triangle is equal to the sum of the two opposite interior angles
so
In the triangle ABC
we have
substitute
