h= 9.2 units
Examining that triangle, let's find out at first the hypotenuse (a):
Using the Pythagorean Theorem, we can write out:
a² = b² + c² The hypotenuse is always on the left side
a²= 24² +10²
a² = 576 +100
a² = 676
√a²= √676
a = 26
2) Now, we can find out the height (x), by using a formula derived from the similarity between those two triangles that form the large one:
a*h = b * c
26h =24 * 10
26h/26 = 240/26
h =9.230
h ≈ 9.2
3) Hence, the answer is h= 9.2 units
