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?

Final 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(sh) h  S=(sh) h/2  168=(50h) h/2 0.5h225h+168=0  a=0.5;b=25;c=168 D=b24ac=25240.5168=289 D>0  h1,2=2ab±D=125±289=25±171 h1,2=25±17 h1=42 h2=8  h=h1=42=42 cm

Our quadratic equation calculator calculates it.

a=sh=5042=8=8 cm   Verifying Solution:   S1=2a h=28 42=168 cm2 s2=a+h=8+42=50 cm

Try calculation via our triangle calculator.




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