Question

A triangle has sides 5 cm, 12 cm and 13 cm. Find the length to one decimal place, of the perpendicular from the opposite vertex to the side whose length is 13 cm.

Answer 1

Since we obtained two right angled triangles, and .

In and

(Common angle)

So, by AA-criterion

Now we will multiply both sides of the equation by.

.....(1)

Let us simplify the equation (1) as given below,

Now we will substitute the values of BC, AB and AC.

Therefore, the length of the altitude is.