The triangle given above is a scalene triangle as non of its given sides are equal. To determine the area of the triangle, we use the Heron's formula which is expressed as below,
A = sqrt ((s)(s - a)(s - b)(s - c))
where a, b, and c are the lengths of the sides and s is the semiperimeter ((a+b+c)/2)
The area of the triangle can also be computed through the equation, A = rs
where r is the radius of the inscribed circle. Equating both areas,
A = sqrt ((s)(s-a)(s-b)(s-c)) = rs
Divide the equation by s,
r = sqrt ((s)(s-a)(s-b)(s-c)) / s
Solving for s,
s = (12+14+16)/2 = 21
Substituting to the equation for r,
r = sqrt ((21)(21-12)(21-14)(21-16)) 21
r = sqrt 15
r = 3.87
<em>ANSWER: r = 3.87</em>
Answer:
nope its -60
Step-by-step explanation:
5x-2 is -10
6x-10 is -60
Answer:
B
Step-by-step explanation:
Let's call the shortest side a. The longest base, b, is 8cm longer than a. The height, h, is 2cm longer than a.
b = a + 8
h = a + 2
A = (a + b)h/2
48 = (a + (a+8))(a+2)/2
= (2a+8)(a+2)/2
= (2a^2+12a+16)/2
48 = a^2+6a+8
a^2+6a-40=0
Now, we factor this:
(a + 4)(a - 10)=0
a = -4, 10
a (length) cannot be a negative no. so the only possible answer is a = 10.
b = 10 + 8 = 18
h = 10 + 2 = 12
The answer is B
Hope this helps!
Answer:
6x + y = - 67
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 6 and (a, b) = (- 12, 5), thus
y - 5 = - 6(x - (- 12)), that is
y - 5 = - 6(x + 12) ← in point- slope form
Distribute right side and rearrange equation
y - 5 = - 6x - 72 ( add 6x to both sides )
6x + y - 5 = - 72 ( add 5 to both sides )
6x + y = - 67 ← in standard form
Answer:
The mixed number 3 7/8 can be changed into the improper fraction 31/8.
Step-by-step explanation: