Question

The base and height of a triangle are in the ratio 4:3 and its area is 600 sq. cm . Find its base and height.​

Answer 1

Answer:

The base and height of the triangle is 40cm and 30cm.

Step-by-step explanation:

The ratio of base and height is 4:3

Let's Think the base and height is 4x and 3x.

The area of the triangle is 600 sq.cm.

Solutions,

1/2 × base × height = Area

or, 1/2 × 4X × 3X = 600

or, 12X^2 = 600×2

or, 12X^2 = 1200

or, X^2 = 100

or, X = √100

or, X = 10

:. The base of the triangle is= ( 4×10)=40 cm.

and height is = ( 3× 10)= 30cm.

Answer 2

Answer:

10cm

Step-by-step explanation:

Let the height be x cm and base be also x so the equation be like

area of triqngle 1/2×height ×base

1/2 × 4x ×3x =600

1/2×12x² =600

6x²=600

x²=600/6

x²=100

x=10cm

height =40cm

base=30cm