Answer:
AY = 16
IY = 9
FG = 30
PA = 24
Step-by-step explanation:
<em>The </em><em>centroid </em><em>of the triangle </em><em>divides each median</em><em> at the ratio </em><em>1: 2</em><em> from </em><em>the base</em>
Let us solve the problem
In Δ AFT
∵ Y is the centroid
∵ AP, TI, and FG are medians
→ By using the rule above
∴ Y divides AP at ratio 1: 2 from the base FT
∴ AY = 2 YP
∵ YP = 8
∴ AY = 2(8)
∴ AY = 16
∵ PA = AY + YP
∴ AP = 16 + 8
∴ AP = 24
∵ Y divides TI at ratio 1: 2 from the base FA
∴ TY = 2 IY
∵ TY = 18
∴ 18 = 2
→ Divide both sides by 2
∴ 9 = IY
∴ IY = 9
∵ Y divides FG at ratio 1:2 from the base AT
∴ FY = 2 YG
∵ FY = 20
∴ 20 = 2 YG
→ Divide both sides by 2
∴ 10 = YG
∴ YG = 10
∵ FG = YG + FY
∴ FG = 10 + 20
∴ FG = 30
Answer:
y=12x+3
Step-by-step explanation:
when parallel the slopes need to be the same but the y-intercept has to change
Answer:
A function with a positive constant other than 1 raised to a variable exponent.
Step-by-step explanation:
Answer:
C. 20
Step-by-step explanation:
Answer:
Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.
The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:
a + b > c; a + c > b; b + c > a
Given a triangle with side length 4 m, 8 m, 9 m:
4m + 8m = 12m > 9m
4m + 9m = 13m > 8m
8m + 9m = 17m > 4m
Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.
