Answer :

Answer:

h = 10cm

Step-by-step explanation:

To find one of the heights of the triangle, we can use the formula for the area of a triangle:

Area of a triangle = (1/2) × base × height

Given information:

- Area of the triangle ABD = 50 cm²

- One of the sides of the triangle is 10 cm in length

Let's call the height corresponding to the 10 cm side as "h".

Substituting the given values in the formula, we get:

50 cm² = (1/2) × 10 cm × h

Solving for the height, we get:

h = (2 × 50 cm²) / 10 cm

h = 10 cm

Therefore, one of the heights of the triangle ABD is 10 cm.