Question

Base of triangles is 9 and height is 5 .base of another triangles os 10 and height is 6 . Find the ratio of areas of these triangles.​

Answer 1

Answer:

3:4

Step-by-step explanation:

Given:

• Base of the first triangle = 9
• Height of the first triangle = 5
• Base of the second triangle = 10
• Height of the second triangle = 6

To find:

• Ratio of the areas of these triangles

Area of a traingle = 1/2×b×h

Area of the first triangle = 1/2×9×5

Area of the first triangle = 4.5×5

Area of the first triangle = 22.5

Area of the second triangle = 1/2×10×6

Area of the second triangle = 5×6

Area of the second triangle = 30

Ratio of area of first triangle to ratio of area of second triangle = 22.5:30

Ratio of area of first triangle to ratio of area of second triangle = 3:4

the ratio is 3:4

Answer 2

Method 1 (solve individually):

Area of a triangle= 1/2 x base x height
Area of 1st triangle= 1/2 x 9 x 5 = 22.5
Area of 2nd triangle= 1/2 x 10 x 6 = 30
22.5 : 30

2(22.5) : 2(30) —> multiplying both sides by two since ration has to be in whole numbers.

=45:60
(45)/15 :(60)/15 —> dividing both sides by 15 to get the simplest ratio

3:4

Method 2 (solve together):

1/2 x 9 x 5 : 1/2 x 10 x 6

= 9 x 5 : 10 x 6 (half and half get cut)

= 45/15 : 60/15

= 3:4