A isosceles

A isosceles triangle has an area of 168 cm2 and it's added height and base is 370 cm. What are the measurements of it's 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=a h2 S=(370h) h2  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=b±D2a=185±338891=185±33889 h1,2=185±184.08965207203 h1=369.08965207203 h2=0.91034792797288   Factored form of the equation:  0.5(h369.08965207203)(h0.91034792797288)=0  h=h1=369.0897 cm

Our quadratic equation calculator calculates it.

a=370h=370369.08970.9103=0.9103 cm   Verifying Solution:   S1=a h2=0.9103 369.08972=168 s2=a+h=0.9103+369.0897=370

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