The base of a triangle is 9cm less than the three times the height. The area is 15 cm2.

Find the height and base.

The height is 6 cm and the base is 5 cm.

Step-by-step explanation:

Given:

The base of a triangle is 9 cm less than the three times the height. The area is 15 cm².

Now, to find the height and the base of the triangle.

Let the height of the triangle be

And then base of the triangle =

The area of the triangle =

Now, we put formula to get the base and height of the triangle:

Multiplying both sides by 2 we get:

Dividing both sides by 3 we get:

Subtracting both sides by 10 we get:

Now, solving the quadratic equation:

Hence, the negative result is not to be taken so, we take the positive result.

Thus, the height  is 5 cm.

Now, substituting the value of to get the base:

Hence, the base is 6cm.

Therefore, the height is 6 cm and the base is 5 cm.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.