Question

The area of triangle is 1176 cm. the ratio of the base to the corresponding altitude is 3:4. find the altitude of the triangle

Answer 1

Hope this will help you

Answer 2

Solution:

The altitude of the triangle is 56 cm

Explanation:

Let b be the base and h be the altitude of the triangle.

Then, we have

$\frac{b}{h} =\frac{3}{4} \\\\b=\frac{3}{4}h$

Now, we know that the area of a triangle is given by

$A=\frac{1}{2} \times b\times h$

Substitute the values for area and the base b, we get

$1176=\frac{1}{2} \times \frac{3}{4}h \times h\\ 1176=\frac{3h^2}{8}\\\\h^2=3136\\\\h=56$

Therefore, the altitude of the triangle is 56 cm