To determine which figure represents the triangle with angles measuring 50 degrees and 70 degrees joined by a side of length 20 centimeters, we first need to calculate the measure of the third angle.
The sum of the angles in a triangle is always 180 degrees. Therefore, the third angle can be calculated as follows:
\[ \text{Third angle} = 180 - (50 + 70) = 180 - 120 = 60 \text{ degrees} \]
Now that we know the measures of the angles in the triangle are 50 degrees, 70 degrees, and 60 degrees, we can analyze how a triangle with these properties will look, particularly considering the side that is 20 centimeters long which is between the two known angles (50 and 70 degrees).
- Angle A: 50 degrees
- Angle B: 70 degrees
- Angle C: 60 degrees
- Side a (opposite Angle A): This is the side of length 20 cm.
Once you have the angles and a side length, you can visualize or sketch the triangle to see how it will appear. Since the triangle has angles less than 90 degrees, it will be an acute triangle, and the specific lengths and angles will determine its precise shape.
You would need to match these criteria against the provided images to identify the correct representation of the triangle. Look for an acute triangle with angles 50 degrees, 70 degrees, and the remaining angle of 60 degrees, with a corresponding side measurement of 20 centimeters joining the two angles of 50 and 70 degrees.