Question

Find the value of x

Area of triangle =5
(Type an integer or decimal rounded to the nearest hundredth as needed. Use a comma to desperate answers if needed.

Answer 1

x= 1.74

Explanation:

Area of triangle= ½ ×base ×height

We are given that the base is (x +4), the height is x and the area is 5.

5= ½(x +4)(x)

Multiply both sides by 2:

x(x +4)= 10

Expand:

x² +4x= 10

x² +4x -10= 0

Let's use the quadratic formula!

`\boxed{x = \frac{ - b± \sqrt{ {b}^(2) - 4ac} }{2a} }`

`x = \frac{ - 4± \sqrt{ {4}^(2) - 4(1)( - 10)} }{2(1)}`

`x = ( - 4± √(56) )/(2)`

x= 1.74 or x= -5.74 (reject)

(nearest hundredth)