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Inessa [10]
2 years ago
11

Marvin marked off the ground for a rectangular garden. The garden was to have an area represented by the polynomial expression 2

8^2+ 13 − 176. If the factors of the polynomial expression represent the length and the width of the rectangular garden, what is each dimension?
Mathematics
1 answer:
mafiozo [28]2 years ago
8 0

Answer:  621

Step-by-step explanation: 28^2+ 13 − 176

length, width, and height.

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The relationship between the lengths of the sides of a right triangle are

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Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

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Part B: The triangles are similar according to <u>AA similarity postulate</u>,

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Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

\overline{DA}^2 = \overline{DC} \times \overline{BD}

Which gives;

\overline{DA}^2 = 4 × 9 = 36

\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

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