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Let a triangle ABC with BC = 6 cm, and the area of 30 cm2. A square PQRS is inscribed so that points S and R is on BC, Q on AC, and P on AB  respectively. Find the side length of the square PQRS.

 Jun 9, 2021
 #1
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ΔABC is an isosceles triangle.

 

Angles B and C are congruent.       Their tangent = 10/3 = 31/3

 

2(x / 31/3 ) + x = 6

 

Square side   x = 3.75 cm

 Jun 10, 2021

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