Question

The perimeter of an isosceles triangle is 42 cm. Its base is times the sum of the equal sides.

Find the length of each side and the area of the triangle.​

Answer 1

Answer:$a=b=5\frac{1}{4}cm ,c=41\frac{1}{2}cm$

Step-by-step explanation:

Let sides be a.b.c and let be a=b

Let measure of a=b=x

Therefore a+b =2x

Therefore c=3(2x)=6x

Therefore since perimeter=a+b+c=42cm

Therefore x+x+6x=42cm

Therefore 8x=42cm

Therefore , $x=\frac{42}{8} cm=\frac{21}{4}cm= 5\frac{1}{4}cm$

$Therefore,a=b=x=\frac{21}{4}cm= 5\frac{1}{4}cm ,\\c=6x=6(\frac{21}{4})cm= \frac{126}{4} cm=\frac{83}{2} cm=41\frac{1}{2}cm\\\\Therefore ,a=b=5\frac{1}{4}cm ,c=41\frac{1}{2}cm-ANS$