3 years ago

Please help due today

Mathematics

1 answer:

bogdanovich [222]3 years ago

5 0

Answer:

a. angle H ≅ angle B

b) BC

Step-by-step explanation:

A pair of similar shapes will give equivalent sides and angles

a. angle H ≅ angle B

b) BC

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Here is your answer

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

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Step 2

Find the value of BC

we know that

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Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

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Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

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therefore

the answer is

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