Question

the base length of a particular triangle is 4 inches mote than its height. it the area of the triangle is 10.5 square inches, find the base length and height brainly

Answer 1

Answer:

Height = 3 inches and Base length = 7 inches

Step-by-step explanation:

1. Information provided to answer the question correctly:

Base of the triangle = x+ 4

Height of the triangle = x

Area of the triangle = 10.5 inches²

2. Find the base length and height

Let's recall the formula of the area of a triangle:

Area = (Base * Height)/2

Replacing with the values we know:

10.5 = x (x + 4)/2

21 = x² + 4x

x² + 4x - 21 = 0

(x + 7) (x - 3) = 0

(x₁ + 7) = 0 ⇒ x₁ = -7

(x₂ - 3) = 0 ⇒ x₂ = 3

We take  x₂ as the answer because x₁ = -7 is not a valid height.

Height = 3 inches and Base length = 7 inches