Mathematics: In the diagram CD is tangent to circle B at point C. If AB = 5 cm, and BD = 13 cm, find AD. Round the answer to the nearest tenth.

In the diagram CD is tangent to circle B at point

Ответ:

darrriannn7241

25.01.2022

Mathematics

15.6 cm

Step-by-step explanation:

Given that AB = 5 cm, then BC = 5 cm, and AC = AB+BC = 10 cm

Applying Pythagorean theorem to triangle BCD:

BD² = BC² + CD²

CD = √(BD² - BC²)

CD = √(13² - 5²) = 12 cm

Applying Pythagorean theorem to triangle ACD:

AD² = AC² + CD²

AD = √(AC² + CD²)

AD = √(10² + 12²) = 15.6 cm

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Ответ:

mixcolin0002

25.01.2022

Mathematics

$AD \approx 15.6\,cm$

Step-by-step explanation:

The value of AD is found by using the Pyhagorean Theorem:

$AD = \sqrt{CD^{2}+AC^{2}}$

$AD = \sqrt{CD^{2}+4\cdot AB^{2}}$

$AD^{2} - 4\cdot AB^{2} = CD^{2}$

Besides, BD is measured in terms of the Pythagorean Theorem:

$BD = \sqrt{CD^{2}+AB^{2}}$

$BD^{2} - AB^{2} = CD^{2}$

By Algebra:

$AD^{2}-4\cdot AB^{2} = BD^{2} - AB^{2}$

$AD^{2} = BD^{2}+3\cdot AB^{2}$

$AD = \sqrt{BD^{2}+3\cdot AB^{2}}$

$AD = \sqrt{(13\,cm)^{2}+3\cdot (5\,cm)^{2}}$

$AD \approx 15.6\,cm$

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Ответ:

grandpamyth

28.09.2021

Mathematics

This has to be more on the obvious side. 2 lines directly intersecting, are parallel lines.

Hoped this helped!

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In the diagram CD is tangent to circle B at point C. If AB = 5 cm, and BD = 13 cm, find AD. Round the answer to the nearest tenth.

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