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Answer: Segment GD is parallel to segment HC.
Step-by-step explanation:
In ΔAHC
AG=GH (given)...........1
As BD is the median of ΔABC bisecting AC at D
∴AD=DC.........2
⇒(from 1 and 2)
⇒segment GD is dividing the sides AH and AC in same ratio.
Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.
Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.
The model in which the lateral surface meets the base at right angle is : Model 1.
<h3>What is a lateral surface?</h3>The lateral surface of an object is all surfaces of that object excluding its base and top.
Analysis:
To know the exact model, we check for the models in which their dimensions form a Pythagorean triplet otherwise a right-angled triangle.
For Pythagorean triplet, the square of the diagonal must be equal to the sum of squares of the other two sides.
Model 1
Diagonal = 50cm, radius = 14cm, lateral height = 48cm
=
+
2500 = 196 + 2304
2500 = 2500. Forms Pythagorean triplet
Model 2
Diagonal= 37cm, radius = 6cm lateral height = 35cm
=
+
1369 = 1225 +36
1369 1261
Model 3
Diagonal = 60cm, radius = 20cm lateral height = 40cm
=
+
3600 = 400 + 1600
3600 2000
Model 4
Diagonal = 30cm, radius = 24cm, lateral height = 9cm
=
+
900 = 576 + 81
900 657
Therefore the lateral surface model 1 meets the base at right angle
In conclusion, the lateral surface of model 1 meets the base at right angles as the dimensions form a right-angled triangle.
Learn more about Pythagorean triplet: brainly.com/question/20894813
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