# ABC is a right-angled triangle atB. AB=(3x+2)cm and BC=2CM.GIVEN THAT THE AREA OF THE TRIANGLE IS 85CM SQUARE FIND THE VALUE OF X.

Say that the

height= 3x+2

base= 2

Area of a triangle equals 1/2 base times height

so...

(1/2) of the base is 1

and 1 times the height (3x+2) is 3x+2

Since the area equals 3x+2 and 85 you can set those numbers equal to each other to solve for x

3x+2=85

See if you can solve for x from this point

Just ask if you need any more help :-)

## To solve the equation 3x + 2 = 85 for x, you can start by subtracting 2 from both sides of the equation:

3x + 2 - 2 = 85 - 2

This simplifies to:

3x = 83

Next, divide both sides of the equation by 3 to isolate x:

(3x)/3 = 83/3

This gives you:

x = 27.67

Therefore, the value of x is approximately 27.67.