Triangle RST was dilated by a scale factor of One-half. The image, triangle R'S'T', is an isosceles triangle, with each leg meas
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<h2><u>Answer</u> :-</h2>
To find the cost of planting grass , we have to find area of the field.
Area of field = Length × Breadth
Now convert into hectare.
1 hectare = 10000m sq.
51000 / 10000
So area field = 5.1 hectare sq.
Now cost = 5.1 x 0.80 p
Answer: The length of segments between this point and the vertices of greater base are and 18.
Step-by-step explanation:
Let ABCD is the trapezoid, ( shown in below diagram)
In which AB is the greater base and AB = 18 DC= 11, AD= 3 and BC = 7
Let P is the point where The extended legs meet,
So, according to the question, we have to find out : AP and BP
In Δ APB and Δ DPC,
∠ DPC ≅ ∠APB ( reflexive)
∠ PDC ≅ ∠ PAB ( By alternative interior angle theorem)
And, ∠ PCD ≅ ∠ PBA ( By alternative interior angle theorem)
Therefore, By AAA similarity postulate,
Let, DP =x
⇒
⇒ 33 +11x = 18x
⇒ x = 33/7=
Thus, PD=
But, AP= PD + DA
AP=
Now, let PC =y,
⇒
⇒ 77 + 11y = 18y
⇒ y = 77/7 = 11
Thus, PC= 11
But, PB= PC + CB
PB= 11+7 = 18
