Height and base

An isosceles triangle has an area of 168 cm2, and its added height and base are 50 cm. What are the measurements of its height and base?

Correct answer:

h =  42 cm
a =  8 cm

Step-by-step explanation:

S=168 cm2 s=50 cm h+a = s  S = 2a⋅ h​ S = 2(s−h)⋅ h​  S=(s−h)⋅ h/2  168=(50−h)⋅ h/2 0.5h2−25h+168=0  a=0.5;b=−25;c=168 D=b2−4ac=252−4⋅0.5⋅168=289 D>0  h1,2​=2a−b±D​​=125±289​​=25±171​ h1,2​=25±17 h1​=42 h2​=8  h=h1​=42=42 cm

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You need to know the following knowledge to solve this word math problem:

algebraplanimetricsUnits of physical quantitiesGrade of the word problem

 
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