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Vladimir79 [104]
2 years ago
10

From the triangle below, if AD = 5 and CD = 20, find the length of side BD.

Mathematics
2 answers:
krek1111 [17]2 years ago
5 0

The length of side BD, given that AD = 5 and CD = 20 is 10 (Option A)

<h3>Data obtained from the question</h3>
  • Length of side AD = 5
  • Length of side CD = 20
  • Length of side BD =?

<h3>How to determine the length of side BD</h3>

Since the triangles are similar, we can obtain the length of side BD as illustrated below:

CD / BD = BD / AD

20 / BD = BD / 5

Cross multiply

BD × BD = 20 × 5

BD² = 100

Take the square root of both sides

BD = √100

BD = 10

Thus, the length of side BD is 10

Learn more about similar triangles:

brainly.com/question/25882965

#SPJ1

zubka84 [21]2 years ago
5 0

Answer: 10

Step-by-step explanation:

By the geometric mean theorem,

\frac{BD}{5}=\frac{20}{BD}\\\\(BD)^2 = 100\\\\BD=10

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