The height of the triangle is diminished by 2 cm, it will be half of the base length. Given that the area of the triangle is 15 cm². Find the height of the triangle.
Share
The height of the triangle is diminished by 2 cm, it will be half of the base length. Given that the area of the triangle is 15 cm². Find the height of the triangle.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
✏️TRIANGLE
===============================
Problem: The height of the triangle is diminished by 2 cm, it will be half of the base length. Given that the area of the triangle is 15 cm². Find the height of the triangle.
Solution: Represent b and h as the base and the height of the triangle respectively. Make two equations of the given statement including the formula on how to find the area of a triangle.
- Find the solution of h from the first equation in terms of b then substitute it to the second equation.
- Solve the quadratic equation from the second equation by using the quadratic formula. Make sure that gives the positive solution.
- Thus, the base of a triangle is 6 cm. Then substitute it to the first equation to find the height of a triangle.
- Therefore, the height of the triangle is:
===============================
#CarryOnLearning
#LearnWithBrainly