Answer:
The base x is 14 centimeters ⇒ 1st answer
Step-by-step explanation:
The formula of the area of a triangle is A = [tex]\frac{1}{2}[/tex] b h, where
- b is the length of the base of the triangle
- h is the length of the height of this base
In triangle ABC
∵ BC is its base
∵ AD is the height of base BC
∵ BC = x centimeters
∴ b = x
∵ AD = 7 centimeters
∴ h = 7
∵ The area of triangle ABC is 49 square centimeters
∴ A = 49
Use the formula of the area to find x
∵ A = [tex]\frac{1}{2}[/tex] b h
∴ 49 = [tex]\frac{1}{2}[/tex] (x)(7)
- Multiply both sides by 2
∴ 98 = 7 x
- Divide both sides by 7
∴ 14 = x
∴ The base x is 14 centimeters
