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The height of a triangle is 4 times its base. If the triangle has an area of 162 ft2, find the length of the base and the height.

User Rob Cowie
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1 Answer

19 votes
19 votes

Answer:

base= 9 ft

height= 36 ft

Explanation:

Area of triangle= ½ ×base ×height

Let the base and the height of the triangle be b and h ft respectively.

162= ½ ×b ×h

Given that h= 4b,

162= ½ ×b ×4b

162= ½(4b²)

162= 2b²

Divide both sides by 2:

b²= 81

Square root both sides:

b= 9

h= 4b

h= 4(9)

h= 36

Thus, the lengths of the base and height are 9 and 36 ft respectively.

User Matthew Holmes
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