Expert answers to "Using the figure below, solve for x and..."

postillan4

Answered question

2021-08-05

Using the figure below, solve for x and y.
There are two triangles shown in the figure below.

un4t5o4v

Skilled2021-08-06Added 105 answers

There are two corresponding angles that are equal in both triangles which represent that both triangles follow the AA similarity criteria.
So,

△ A B C \sim △ G F E

The formula for similarity for AB and AC is,

\frac{A B}{G F} = \frac{A C}{G E}

Substitute the values in the above equation.

\frac{14}{8} = \frac{x}{10}

x = \frac{14}{8} (10)

x = \frac{70}{4}

x=17.5 m
Step 2
The formula for similarity for AB and BC is,

\frac{A B}{G F} = \frac{B C}{F E}

Substitute the values in the above equation.

\frac{14}{8} = \frac{21}{y}

y = \frac{8}{14} (21)

y = \frac{8}{2} (3)

y=4(3)
y=12 m
Thus, the value of x is 17.5 m and the value of y is 12 m.

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