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Find the value of b. * 4 b 6 Y 9 5.8 W

Sagot :

The smaller triangle has its hypotenuse as 4 units and the base as 6 units

The bigger triangle has its hypotenuse as 10 units, the height as 5.8 units and the other hypotenuse as 9 units

Using similarity properties, compare the ratio of the sides as;

Compare the ratio of the bigger triangle sides to that of the smaller traingle

First find the base of the bigger triangle using the sides given and applying the pythagorean relationship as;

10^2 - 5.8^2 = a^2

100 - 33.64 = a^2

66.36 = a^2

1/2 a= 8 .15 units

a= 16.30 units

Compare ratio

a/ 6 = 5.8 / b

16.30 /6 = 5.8/ b

16.30 b = { 6 * 5.8 }

b = {6 * 5.8} / 16.30

b = 2.13 units

Answer

2.13 units

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