Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
Now, the perimeter of the triangle CDE is:
Therefore, the perimeter of the triangle CDE is 56 units.
Answer:
03) y≈-3x±11
Step-by-step explanation:
Answer:
b = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Here m = - 2 , then
y = - 2x + b ← is the partial equation
To find b substitute (5, - 7 ) into the partial equation
- 7 = - 10 + b ⇒ b = - 7 + 10 = 3
19. 4/6 or 2/3 (lowest term) or 2:3 in ratio
20. 2/3 or 2:3 in ratio
21. 5/12 or 5:12 in ratio
22. 14
To get geometric mean, multiply the numbers then get the square root of the product (if there are two numbers), cube root (if there are three numbers), and so on. In this case, 7*28 = 196; √196 = 14
23. 10 ft : 2.5 ft.
Convert the values so that it will be similar. In this case, 30 inches is converted to ft.
24. 24 is the Perimeter of ABCDE.
ABCDE and FGHJK are similar shapes. Similar shapes have proportional measurements.
Now compute for the sides of ABCDE.
AB = 4; BC = ?; CD = ?; DE = ?; EA = ?
AB + BC + CD + DE + EA
4 + 4 + 5 + 6 + 5 = 24
Find BC:
AB/BC = FG/GH
4/BC = 8/8
8BC = 32
BC = 4
Find CD:
BC/CD = GH/HJ
4/CD = 8/10
8CD = 40
CD = 5
Find DE:
CD/DE = HJ/JK
5/DE = 10/12
10DE = 60
DE = 6
Find EA
DE/EA = JK/KF
6/EA = 12/10
12EA = 60
EA = 5
Answer:
(A) 40 km
(B) 90 km
(C) 180 km²
Step-by-step explanation:
To find the missing side of this triangle, let's use the Pythagorean theorem.
, assuming that a and b are legs, and c is the hypotenuse.
Assuming the 9km side is a, we need to find the value of b, so we can substitute into the equation.
So, the length of the missing side is 40. Now that we know this piece of information, we can find the perimeter and area of the triangle.
The perimeter is all the sides added together, so 
km is the perimeter.
The area are the two legs multiplied divided by 2.
So,
So the area of this triangle is 180 cm²
I hope this helped!
