The height of the cone is 4 inches.
Explanation:
Step 1:
The given triangle is a right-angled triangle.
The length of the hypotenuse is 5 inches. One of the other sides is 3 inches long. Assume the other side of the triangle measures x inches.
According to Pythagoras' theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Step 2:
(The length of the hypotenuse)² = (The other sides length)² + (The other sides length)²
By substituting the values in the equation, we get
![5^(2) = 3^(2) + x^(2) , x^(2) = 25 - 9 = 16.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/il9ydadgd0bk9mj2xitwl6atuhr5qp3c9h.png)
![x = 4.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ml91nk9orsrhndgahu4fs33g6qhw362jry.png)
So the height of the cone is 4 inches which is the fourth option.