Question

Find the value of x

Answer 1

Answer:

x= 1.74

Step-by-step 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!

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

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

$x = \frac{ - 4± \sqrt{56} }{2}$

x= 1.74 or x= -5.74 (reject)

(nearest hundredth)