Height and base

An isosceles triangle has an area of 168 cm2, and its added height and base are 370 cm. What are the measurements of its height and base?

Correct answer:

h =  369.0897 cm
a =  0.9103 cm

Step-by-step explanation:

S=168 cm2 h+a = 370  cm  S = 2a h S = 2(370h) h  S=(370h) h/2  168=(370h) h/2 0.5h2185h+168=0  a=0.5;b=185;c=168 D=b24ac=185240.5168=33889 D>0  h1,2=2ab±D=1185±33889=185±33889 h1,2=185±184.089652 h1=369.089652072 h2=0.910347928  h=h1=369.0897=369.0897 cm

Our quadratic equation calculator calculates it.

a=370h=370369.08970.9103 cm   Verifying Solution:   S1=2a h=20.9103 369.0897=168 s2=a+h=0.9103+369.0897=370

Try calculation via our triangle calculator.




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We encourage you to watch this tutorial video on this math problem: video1

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