Answer :
Let's break it down step by step:
1. The area of a right triangle is given by: Area = (base × height) / 2
2. The area is given as 50 square centimeters, so we can set up the equation: (base × height) / 2 = 50
3. The base and height are given as 14 cm and 10 cm respectively, so we can plug these values in: (14 × 10) / 2 = 50
4. Simplifying the equation, we get: 140 / 2 = 50
5. Multiplying both sides by 2, we get: 140 = 100
6. Subtracting 100 from both sides, we get: 40 = 0
7. Dividing both sides by 8 (since x is the unknown length), we get: x = 40 / 8
8. Simplifying, we get: x = 5
So, the correct answer is C. 5.
Here's the work in a concise format:
(14 × 10) / 2 = 50
140 / 2 = 50
140 = 100
40 = 0
x = 40 / 8
x = 5
