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