Question

ingles TestGiven mZA = m D = 90° and AABC ADFE. If AB = 5 inches and BC = 13 inches, determine DE.POSSIBLE

Answer 1

We will apply the principle of similar triangles to solve this question

Given that

`\begin{gathered} AB=5 \\ BC=13 \end{gathered}`

Method: Find side AC

We will use the Pythagoras theorem to evaluate AC

`\text{hypotenuse}^2=\text{opposite}^2+\text{adjacent}^2`

`13^2=5^2+AC^2`
`\begin{gathered} AC^2=13^2-5^2 \\ AC^2=169-25 \\ AC^2=144 \\ AC=\sqrt[]{144} \\ AC=12 \\ \end{gathered}`

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