Expert Answer to "To determine:To Find:the measure of side BB"

Yulia

Answered question

2021-01-22

To determine:To Find:the measure of side BB

Bertha Stark

Skilled2021-01-23Added 96 answers

Calculation:
Since, plane of

△ A^{'} B^{'} C^{'}

is similar to the plane of

△ A B C

Since, ABCD is a parallelogram.

∠ V = ∠ V ∴

(Common)

∠ V A B = ∠ V A^{'} B^{'} ∴

(Corresponding angle in two similar plane)
Therefore by AA similarity,

△ V A B \sim △ V A^{'} B^{'}

Ratio of corresponding sides in two similar triangles is equal.

\frac{V A}{V A^{'}} = \frac{V C}{V C^{'}}

\frac{V A^{'} + \forall^{'}}{V A^{'}} = \frac{V B}{V B^{'}}

\frac{15 + 20}{15} = \frac{49}{V B^{'}}

V B^{'} = \frac{15 \times 49}{35}

VB'=21
VB=BB'+VB'
49=BB+21
BB'=28
Therefore, the answer is 28.
Therefore, the answer is 42.

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