Answer:
First: 12 feet
Second: 11 feet
Third: 14 feet
Step-by-step explanation:
Let the second side of the traingle be x
First side of the triangle= x+1
Third side of the triangle= x+3
x+x+1+x+3 = 37
3x+4 = 37
3x = 37-4
3x = 33
x = 11
First side of the triangle= (11)+1
= 12
Second side of the triangle= 11
Third side of the triangle= (11)+3
= 14
The answer to the question is 14
x^4 + 14x^2 + 49
(x^2 + 7)^2
perfect square
Area would be 4.52 A= pi x radius squared
Circumference would be 7.54 C= 2 pi radius. Hope that makes sense.
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
Step 1: This is a right triangle with two equal sides so it must be a 45°-45°-90° triangle. Step 2: You are given that the both the sides are 3. If the first and second value of the ratio x:x:x√2 is 3 then the length of the third side is 3√2. Answer: The length of the hypotenuse is 3√2 inches.
