a. What is the constant of variation?
Answer: 1/2
b. A triangle with a height of 10 cm and a base of 3 cm has an area of 15 cm². Verify your answer in (a) using the information.
Answer:
A = kbh
Given,
Substitute the given value of A, b and h
15 = k(3)(10)
15 = 30k
k = 30/15
∴ k = 1/2
c. What is the height of a triangle with an area of 40 cm² and a base of 8 cm
Answer: 10 cm
Solution:
Substitute the given value of A, k and b.
40 = 1/2(8)(h)
40 = 4(h)
40/4 = h
h = 10
∴ The height is 10 cm
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Verified answer
a. What is the constant of variation?
Answer: 1/2
b. A triangle with a height of 10 cm and a base of 3 cm has an area of 15 cm². Verify your answer in (a) using the information.
Answer:
A = kbh
Given,
Substitute the given value of A, b and h
15 = k(3)(10)
15 = 30k
k = 30/15
∴ k = 1/2
c. What is the height of a triangle with an area of 40 cm² and a base of 8 cm
Answer: 10 cm
Solution:
A = kbh
Given,
Substitute the given value of A, k and b.
40 = 1/2(8)(h)
40 = 4(h)
40/4 = h
h = 10
∴ The height is 10 cm
#CarryOnLearning