The height of a right triangle is 3 times the length of the base. If the area of the triangle is 54 cm^2 what is the height in centimeters

Question

Blake Holloway

Mathematics

Yesterday, 12:01

The height of a right triangle is 3 times the length of the base. If the area of the triangle is 54 cm^2 what is the height in centimeters

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Answers (1)

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Charisma · Answer 1

Area of triangle=1/2 times base times height

height=3 times base

h=3b

so

area=54

54=1/2bh

subsittue 3b for h

54=1/2b (3b)

54 = (3/2) (b²)

times both sides by 2/3

36=b²

sqrt both sides

6=b

sub back

h=3b

h=3 (6)

h=18

the heigh is 18cm