Question

Solve the right triangle. Select the correct measure of each part of the triangle

Answer 1

Given:

Given that a right angle triangle.

`\begin{gathered} \theta=52.4\degree \\ h=16.7 \end{gathered}`

Required:

To measure the each part of the triangle.

Step-by-step explanation:

Let the the two sides of triangle are a and o.

Now,

`\begin{gathered} \cos\theta=(a)/(h) \\ \\ \cos52.4=(a)/(16.7) \\ \\ 0.6101=(a)/(16.7) \\ \\ a=0.6101*16.7 \\ \\ a=10.188 \end{gathered}`

Now we have to find the other side of the triangle.

Clearly the given triangle is right angle, therefore,

`\begin{gathered} h^2=a^2+o^2 \\ \\ 16.7^2=10.188^2+o^2 \\ \\ 278.98=103.795+o^2 \\ \\ o^2=175.184 \\ \\ o=13.23 \end{gathered}`

Final Answer:

The other two sides of triangle are,

`\begin{gathered} 10.188 \\ 13.23 \end{gathered}`