Applying the leg rule, the value of b in the triangles is: C. 3√13.
What is the Leg rule?
The leg rule states that where the altitude of a right triangle bisects its hypotenuse, then, hypotenuse/leg = leg/part, of the right triangle.
Given:
Hypotenuse = 4 + 9 = 13
Leg = b
part = 9
Thus:
13/b = b/9
Cross multiply
b² = 9 × 13
b = √(9 × 13)
b = 3√13
Thus, applying the leg rule, the value of b in the triangles is: C. 3√13.
Learn more about the leg rule on:
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