Find the missing side lengths.

Ответ:

yasdallasj

24.01.2022

Step-by-step explanation:

we can find using the trigonometric formulas

we can find y by using cosine.

cos = adj / hyp

cos 60 = y / 10

y = 10 cos 60

y = 5

now we can use the Pythagorean theorem since we have the base and hyp

a² + b² = c²

5² + b² = 10²

25 + b² = 100

b² = 75

b = 5√3

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que40

13.04.2021

$dc=12.25$ units

step-by-step explanation:

in triangles abc and adc,

$m\angle abc=m\angle dac$ (as both are right angle) $m\angle bac=m\angle dca$ (alternate interior angle of parallel side ab and dc)

therefore, $\delta abc\sim \delta adc$ (a-a similarity)

so,

$\rightarrow \dfrac{ab}{ac}=\dfrac{ac}{dc}$

$\rightarrow \dfrac{4}{7}=\dfrac{7}{dc}$

$\rightarrow dc=\dfrac{7\times 7}{4}=\dfrac{49}{4}=12.25$

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