Answer:
- WE = 8 units
- QW = 45 units
Step-by-step explanation:
The incenter is the center of the largest circle that fits inside the triangle.
Property of the incenter- it is equidistant from the sides.
<h3>Question 3</h3>
<u>As per property of the incenter we have:</u>
<u>To find the measure of one side, first compare the equations and solve for x:</u>
- DW = FW
- 7x - 13 = 15x - 37
- 15x - 7x = 37 - 13
- 8x = 24
- x = 3
<u>Find the measure of DW:</u>
- DW = 7x - 13 = 7*3 - 13 = 8 units
<u>The measure of WE is same as DW:</u>
<h3>Question 4</h3>
<u>Same as previous question, the incenter is equidistant from the sides:</u>
<u>Compare the equations and solve for x:</u>
- 5x = 2x + 18
- 5x - 2x = 18
- 2x = 18
- x = 9
<u>Find the measure of SW:</u>
<u>QW is same as SW:</u>