Question

which pair of base and height produces the greatest area? all measurements are in centimetres. H= height and B=base
A. B=4, H=3.5
B. B=0.8, H=20
C. B=6, H=2.25
D. B=10, H=1.4

Answer 1

Answer:

The answer is option B where base is 0.8 and height is 20.

Step-by-step explanation:

In A, area = 14

In B, area = 16

In C, area = 13.5

In D, area = 14

(The areas are in cm^2)

Thus, from the areas, we can see that the area of B is greatest.

Hope this helps.

Answer 2

Before, finding the answer. Let's find out how we can find the answer.

• In this question, we are asked to find the Area of the Triangle of different bases and heights.
• So, to find that, we must use the formula of :

$\boxed{ \sf Area \: of \: Triangle = \frac{1}{2} \times b \times h}$

• After finding the Areas of all the Triangles, we have to check and see which Triangle has the greatest Area of all.

_________________________

Given :

(a) B = 4, H = 3.5 cm

(b) B = 0.8, H = 20 cm

(c) B = 6, H = 2.25 cm

(d) B = 10, H = 1.4 cm

To find :

• which pair of triangle has the greatest area

Solution :

Area of Triangle = 1/2 × b × h

                           = 1/2 × 4 × 3.5

                           = 1/2 × 14

                           = 7

Therefore, the Area of the Triangle is 7 cm².

Area of Triangle = 1/2 × b × h

                           = 1/2 × 0.8 × 20

                           = 1/2 × 16

                           = 8

Therefore, the Area of the Triangle is 8 cm².

Area of Triangle = 1/2 × b × h

                           = 1/2 × 6 × 2.25

                           = 1/2 × 13.5

                           = 6.75

Therefore, the Area of the Triangle is 6.75 cm².

Area of Triangle = 1/2 × b × h

                           = 1/2 × 10 × 1.4

                           = 1/2 × 14

                           = 7

Therefore, the Area of the Triangle is 7 cm².

↦ Which has the greatest Area?

• The Area of the Triangle with a Base of 0.8 cm and a Height of 20 cm has the greatest Area.