Circumference 3160

In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle.

Correct answer:

S =  22.2486 cm2

Step-by-step explanation:

o=22 cm p=75%=10075​=43​=0.75  a+b+c=o b=p⋅ a a=c a+b+c=22 b=0.75⋅ a a=c  a+b+c=22 0.75a−b=0 a−c=0  Row2−0.75⋅ Row1→Row2 a+b+c=22 −1.75b−0.75c=−16.5 a−c=0  Row3−Row1→Row3 a+b+c=22 −1.75b−0.75c=−16.5 −b−2c=−22  Row3−−1.75−1​⋅ Row2→Row3 a+b+c=22 −1.75b−0.75c=−16.5 −1.571c=−12.571  c=−1.57142857−12.57142857​=8 b=−1.75−16.5+0.75c​=−1.75−16.5+0.75⋅ 8​=6 a=22−b−c=22−6−8=8  a=8 b=6 c=8  h=a2−(b/2)2​=82−(6/2)2​=55​ cm≐7.4162 cm  S=2b⋅ h​=26⋅ 7.4162​=3 55​=22.2486 cm2

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