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2 years ago

In the figure, what is the length of the tangent from the external point D to point B?

Mathematics

2 answers:

Zina [86]2 years ago

7 0

The answer is B) 4 all you have to do is count

Phoenix [80]2 years ago

4 0

The length of the tangent from point D to point B can be calculated by adding the length of BC to the length of BD.

We are given that:
BC = 2 units
CD = 2 units

Therefore:
BD = BC + CD
BD = 2 + 2
BD = 4 units

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What is the length of the missing leg?

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Answer:

$a=\sqrt{609}\\\\a\approx 24.67793$

Step-by-step explanation:

To solve for the leg of the missing right triangle, one must use the Pythagorean theorem. The Pythagorean theorem states the following,

$a^2+b^2=c^2$

Where (a) and (b) are the sides adjacent to or next to the right angle. (c) is the side opposite the right angle. Substitute in the given values and solve for the unknown,

$a^2+b^2=c^2\\$

Substitute,

$a^2+40^2=47^2\\$

Simplify,

$a^2+1600=2209\\$

Inverse operations,

$a^2=609$

$a=\sqrt{609}\\\\a\approx 24.67793$

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