Answer:
70 units.
Step-by-step explanation:
The 4 sides of a rhombus are equal so each side has length 148 /4
= 37 units. The diagonals bisect each other at right angles so when we draw the 2 diagonals we have 4 congruent right-angled triangles.
So consider one of these triangles:
The hypotenuse is 37 units and one of the legs = 1/2 * 24 = 12 units ( half of the diagonal of length 24).
So the other leg is found using Pythagoras:
x^2 = 37^2 - 12^2 = 1225
x = 35.
This is half of the other diagonal so the latter = 70 units.
