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zamorano5912

06.04.2022

Mathematics

14. B

15. C

Step-by-step explanation:

Question 14

Area of a parallelogram = base × altitude

Given:

area ABEF = 63 cm²base = ABaltitude = 7 cm

Substituting the given values into the formula and solve for AB:

⇒ Area = base × altitude

⇒ 63 = AB × 7

$\sf \implies AB=\dfrac{63}{7}$

⇒ AB = 9cm

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Question 15

Median: the line segment from the vertex to the midpoint of the opposite side.

Median Theorem: the medians of a triangle intersect at a point called the centroid. The centroid is two-thirds of the distance from the vertices to the midpoint of the opposite sides.

Therefore,

$\sf CO=\dfrac23CE \implies EO=\dfrac13CE$

Given:

EO = 7cm

Substituting the given values into the formula and solve for CE:

$\sf \implies EO=\dfrac13CE$

$\sf \implies 7=\dfrac13CE$

⇒ CE = (7 x 3) cm

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