Analyze the diagram below and complete the statement that follows.

the area of triangle abc is

a. 60
b. 65
c. 130
d. 150

150

Step-by-step explanation:

Triangle ADB is a right angle triangle

Use Pythagorean theorem to find out the length of AD

Plug in the values and find out b

Subtract 256 from both sides

Take square root on both sides

The length of AD is 12

Now we find length of CD using pythagorean theorem

Plug in the values and find out b

Subtract 144 from both sides

Take square root on both sides

Length of CD = 9

Length of CB = 9+16=25

Area of the triangle ABC=

=

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have