Question

here is a map showing a plot of land in the shape of a right triangle. 1. your teacher will assign you a scale to use. on centimeter graph paper, make a scale drawing of the plot of land. make sure to write your scale on your drawing. 2. what is the area of the triangle you drew? explain or show your reasoning.

Explanation:

Step1: Recall area formula

The area formula for a right - triangle is $A=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Measure base and height

On the scale - drawing, measure the lengths of the two legs of the right - triangle (which serve as base and height). Let's assume the measured base $b = x$ cm and height $h = y$ cm.

Step3: Calculate area

Substitute the measured values into the formula: $A=\frac{1}{2}xy$ square centimeters.

Answer:

The area of the right - triangle on the scale - drawing is $\frac{1}{2}xy$ square centimeters, where $x$ and $y$ are the measured lengths of the two legs of the right - triangle in centimeters.