we know that
The <u>Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Let
s------> the length of the third side

therefore
<u>The answer part a) is</u>

we know that
the perimeter of a triangle is the sum of the length sides
In this problem

<u>For
</u>
the perimeter is equal to

<u>For
</u>
the perimeter is equal to

so

therefore
<u>the answer part b) is</u>

Answer:
28.26
Step-by-step explanation:
Area of a circle is pi * radius squared
The diameter is 6, so the radius is 3
pi * 3^2 = 3.14 * 9 = 28.26
Triangle Perimeter: Add up the sides of the triangle.
26 + 24 + 10 = 60
The triangles perimeter is 60.
Triangle Area: height * base divided by 2
10 * 24 = 240
240/2 = 120
The triangles area is 120.
<span> |2x − 5| − 2 = 3
</span><span>1) |2x − 5| = 3 +2
2)</span><span> |2x − 5| = 5
3) 2x-5 = 5, or 2x-5= -5
4)2x=10, or 2x=0
5) x = 5 , or x = 0
Check:
</span> |2x − 5| − 2 = 3
|2*5− 5| − 2 = 3 or |2*0 − 5| − 2 = 3
|5|-2=3 or |-5| -2 =3
3=3 (true) or 3=3 (true)
All steps are correct.