Question

57600 = b²(676 - b²)
Find b​

Answer 1

Answer:

Step-by-step explanation:

area of the isosceles triangle (A) = 60 cm²

length of the each equal side = a = 13cm

let  length of the base = b cm

b/4( √4a² - b² ) = A

b/4 (√4*(13)² - b² ) = 60 cm²

do the square both sides

b²/16 (4*169 -b²) = 3600

b²(676 - b²) =16 *3600

let b² = x

x(676 -x ) =57600 

676x -x² =57600

rearreanging the terms

x²-676x +57600 =0

x² -576x -100x+57600=0

x(x-576)-100(x-576) =0

(x-576) (x-100) =0

x-576 =0 or x- 100 =0

x= 576 or x= 100

b²=576 or b² =100

b²= 24² or b² =10²

b= 24cm or b=10 cm

Answer 2

Answer:

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