a triangle is equal to a rectangle which measures 10cm by9cm. if the base of the triangle is 12cm long,find its altitude
To find the altitude of the triangle, we need to use the formula for the area of a triangle.
First, let's find the area of the rectangle. The area of a rectangle is given by the formula: Area = length x width.
So, the area of the rectangle is 10cm x 9cm = 90 square cm.
Now, since the area of the triangle is equal to the area of the rectangle, we can equate the two:
Area of Triangle = Area of Rectangle
To find the area of the triangle, we use the formula: Area = (1/2) x base x height.
We can rewrite the formula as: (1/2) x base x height = 90
Substituting the given values, we have: (1/2) x 12cm x height = 90
Now, let's solve for the height of the triangle:
(1/2) x 12cm x height = 90
Multiplying both sides of the equation by 2 to eliminate the fraction:
12cm x height = 180
Dividing both sides of the equation by 12cm to solve for the height:
height = 180 / 12cm
height = 15cm
Therefore, the altitude (height) of the triangle is 15cm.
LxW=bx(altitude)/2
10x9=(12xaltitude)/2
90=6xaltitude....
divide :)