Question

what do you need to plot first to create a triangle in geogebra?
a. shapes
b. points
c. lines
d. angles

in a triangular park, two sides measure 9 meters and 12 meters. if the angle between these sides is 90 degrees, what is the length of the longest side?
a. 18 meters
b. 15 meters
c. 14 meters
d. 16 meters

Explanation:

First question

In GeoGebra, to create a triangle, points are plotted first as the vertices of the triangle which are then connected to form the triangle's sides. Shapes are the final result, lines are used to connect points, and angles are properties of the formed triangle.

Step1: Identify the problem type

This is a right - triangle problem. We can use the Pythagorean theorem since one angle is 90 degrees. The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $c$ is the hypotenuse (the longest side) and $a$ and $b$ are the other two sides.

Step2: Substitute the values

Let $a = 9$ and $b = 12$. Then $c^{2}=9^{2}+12^{2}=81 + 144=225$.

Step3: Solve for $c$

Taking the square root of both sides, $c=\sqrt{225}=15$.

Answer:

b. Points

Second question