The area of a triangle is 45 in2 Given that its base is 3 in

The area of a triangle is 45 in^2. Given that its base is 3 inches longer than its height, calculate the base and the height of the triangle. Round your final answers to two decimal places only. Height of triangle = in Base of triangle = in

Solution

Area = 45 cm^2

Let height be x cm

base is x+3 cm

Area = 1/2(base)(width)

= (1/2)(x+3)x

x^2 +3x = 45*2

x^2 +3x - 90 =0

solve the quadratc to get values of x:

x = -3/2 + 3/2 sqrt(41)

x = -3/2 -3/2sqrt41

negelct the -ve root So, x =-3/2 + 3/2 sqrt(41) = 8.1 cm

height = 8.10cm

base = 8.10 +3 = 11.10 cm