1- getting the side lengths:
We are given that the ratio between the sides is:
BC : AC : AB
4 : 3 : 5
We are also given that AC = 12 cm
We will simply use cross multiplication to find the lengths of the other two sides as follows:
BC : AC : AB
4 : 3 : 5
?? : 12 : ??
length of BC = (12*4) / 3 = 16 cm
length of AB = (12*5) / 3 = 20 cm
2- getting the perimeter of the triangle:
perimeter = AB + BC + AC
perimeter = 20 + 16 + 12
perimeter = 48 cm
3- getting the length of the hypotenuse:
We are given that angle C is the right angle in triangle ABC. The hypotenuse is the side opposite to the right angle. In our case, this side is AB.
This means that the length of the hypotenuse = AB = 20 cm
4- getting the area of the triangle:
area of triangle = 0.5 * base * height
Since the given triangle is a right-angled triangle, therefore, the base and the height are the two legs associated with the right angle.
This means that:
base = AC = 12 cm
height = BC = 16 cm
Therefore:
area of triangle = 0.5 * 12 * 16 = 96 cm²
Hope this helps :)
Answer:
Area of bigger circle = 36.32cm²
Step-by-step explanation:
Kindly find attached rough sketch for your reference
This problem bothers on the mensuration of flat shapes, a circle
Kindly find attached
Given data
Area of small circle =9cm³
Say we assume the all unit is in cm
From the diagram we can see that the diameter of the small circle is the radius of the bigger circle
So let us solve for the diameter of the small circle
9= πr²
r²=9/3.142
r²= 2.86
r=√2.86
r= 1.7cm
But diameter of small circle
d= 2r
d= 1.7*2= 3.4cm
Hence the radius of the bigger circle is 3.4cm
Area of bigger circle =πr²
=3.142*3.4²
=3.142*11.56
Area of bigger circle = 36.32cm²
Answer:
y = x^2 + 8x + 16
y = x + 6
x^2 + 8x + 16 = x + 6
x^2 + 7x + 10= 0
(x + 5)(x+2) = 0
x = -5
x = -2
y = (-5)^2 + 8(-5) + 16
y = 25 - 40 + 16
y = 41 - 40
y = 1
y = -5 + 6= 1
y= (-2)^2 + 8(-2) + 16
y = 4 - 16 + 16 = 4 + 0 = 4
y = -2 + 6 = 4
Point of intersection: (-2, 4)
Step-by-step explanation:
Answer:
yo answer woud be b √5/4
Step-by-step explanation:
