Question

The height of a triangle
is 2mm less than the base if the area is 60 mm2 find the height and base if the triangle​

Answer 1

Answer:

The height of a triangle

is 2mm less than the base if the area is 60 mm2 find the height and base if the triangle

Answer 2

Step-by-step explanation:

area of triangle = ½× base × height

let the base of the triangle be x mm

therefore,

height = x-2

ATP,

60 mm² = ½× x × (x-2)

x(x-2)= 60mm² ×2

x²-2x= 120mm²

x²-2x-120 =0

x²-12x+10x-120=0

x(x-12)+10(x-12)=0

(x-12)(x+10)=0

so, x=12 or -10

dimensions cannot be negative

so, x= 12

height= 12-2 = 10mm

base = 12mm