BM,CN are altitude of triangle ABC.If AB equals 3.5cm AC equals 3.5cm AC equals to 3.2cm and Bm equals to 2.1cm calculate the area of triangle ABC and hance find CN

AC equals 3.5cm AC equals to 3.2cm

so, which is it? It makes a difference if ABC is isosceles. In that case, BM=CN.

actually, it doesn't matter. BM is the altitude to AC. So, the area of ABC is 1/2 BM * AC

So, 1/2 * CN * AB = 1/2 BM * AC
so, solve for CN after plugging in your (correct) values.

To calculate the area of triangle ABC, we can use the formula A = (1/2) * base * height. In this case, the base would be BC, and the height would be BM.

Since AB is an altitude of triangle ABC, it is perpendicular to the base BC. Similarly, CN is an altitude of triangle ABC, so it is also perpendicular to the base BC.

First, let's find the length of BC. We know that AC = 3.2cm and AB = 3.5cm. Using the Pythagorean theorem, we can find BC:

BC^2 = AC^2 - AB^2
BC^2 = (3.2cm)^2 - (3.5cm)^2
BC^2 = 10.24cm^2 - 12.25cm^2
BC^2 = -2.01cm^2

Since the result is negative, it means there is an error in the given information. Check the measurements and try again.

If you have the correct measurements, you can calculate the area of triangle ABC using the formula mentioned earlier. The height BM is given as 2.1cm, and once you find the correct length of BC, you can substitute these values into the formula to find the area.

To find CN, you'll need the correct measurements for BC and BM. You can then use the same formula A = (1/2) * base * height, where the base is BC and the height is CN. Rearrange the formula and solve for CN:

CN = (2 * A) / BC

But since we couldn't find BC with the given information, we are unable to calculate the area of triangle ABC or find the length of CN.