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Svetlanka [38]
3 years ago
15

Marking brainliest :0 !! find the value of x

Mathematics
2 answers:
erik [133]3 years ago
5 0

Answer:

<h3>            x = √70</h3>

Step-by-step explanation:

From ΔABD:

                   BD² + 7² = x²   ⇒  BD² = x² - 49

Form ΔBCD:

                   BD² + 3² = BC²   ⇒  BD² = BC² - 9

so:

       BC² - 9 = x² - 49   ⇒  BC² = x² - 40

From ΔABC:

                 x² + BC² = (7+3)²

                  x² + x² - 40 = 10²

                   2x² = 140

                    x² = 70

                    x = √70                    

tekilochka [14]3 years ago
5 0

Answer:

x = \sqrt{70}

Step-by-step explanation:

Δ ABC and Δ ADB are similar, thus ratios of corresponding sides are equal, that is

\frac{AB}{AD} = \frac{AC}{AB} ( cross- multiply )

AB² = AC × AD = 10 × 7 = 70 ( take the square root of both sides )

AB = x = \sqrt{70}

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