What is the total surface area of the square pyramid in square inches?
2 answers:
You might be interested in
Given that N is the incenter of △ABC, NS = 4.
<h3>What is the Incenter of a Triangle?</h3>- The incenter of a triangle is the point of concurrency of the three angle bisectors of a triangle.
- The perpendicular distances from each sides of the triangle to the incenter are equal.
Given the image where:
NQ = 2x
NR = 3x − 2
NQ = NR = NS (equidistant from the incenter)
Thus:
2x = 3x - 2
- Add like terms
2x - 3x = -2
-x = -2
x = 2
NQ = NS = 2x
- Plug in the value of x
NS = 2(2)
NS = 4
Therefore, given that N is the incenter of △ABC, NS = 4.
Learn more about the incenter on:
Answer:
29 ; 37
Step-by-step explanation:
The figure is composed by a square, a rectangle, and a right triangle
The perimeter of the square is 6 units
The perimeter of the rectangle is 10 units
The triangle is composed by a side of 6 units and a side of 5 units
The third side can be find with the Pythagorean theorem
= 7,81025
The total perimeter is
6 + 10 + 5 + 7,81025 = 28,81025 = 29
Area of the square = 2^2 = 4 square units
Area of the rectangle = 6 x 3 = 18 square units
Area of the triangle = (5 x 6)/2 = 15 square units
Total area = 4 + 18 + 15 = 37 square units