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The base of a triangle is 4 meters longer than the height of the triangle. If the area of the triangle is 70 square meters, what are the base and height of the triangle?

 Apr 1, 2020

Best Answer 

 #1
avatar+663 
+2

Set Up:

Base = b

Heigh = h

 

h = b - 4

 

Area = bh/2

Solve:

Substitute (usually done mentally)

[b * (b + 4)]/2 = 70

 

b2 - 4b = 140

b2 - 4b - 140 = 0

 

(b - 14)(b + 10) = 0

b = (14, -10)

 

Lengths cannot be negative, so base = 14 and height = now you do it!

 Apr 1, 2020
 #1
avatar+663 
+2
Best Answer

Set Up:

Base = b

Heigh = h

 

h = b - 4

 

Area = bh/2

Solve:

Substitute (usually done mentally)

[b * (b + 4)]/2 = 70

 

b2 - 4b = 140

b2 - 4b - 140 = 0

 

(b - 14)(b + 10) = 0

b = (14, -10)

 

Lengths cannot be negative, so base = 14 and height = now you do it!

AnExtremelyLongName Apr 1, 2020

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