find the altitude on hypotenuse if a=6cm and b=8cm?
I'm guessing that you mean the hypotenuse is 8 cm.
a^2 + c^2 = b^2
6^2 + c^2 = 8^2
36 + c^2 = 64
c^2 = 64 - 36
c^2 = 28
c = 5.2915
If you need to find the hypotnuse -- then
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
10 = c
The second solution is probably the one you need.
I think I understand now. You are looking for the LENGTH of the hypotenuse.
or, if D is the foot of the altitude on the hypotenuse AB, then by similar triangles
CD/CA = CB/AB
CD/6 = 8/10
CD = 48/10 = 4.8
To find the altitude on the hypotenuse of a right-angled triangle, we need to use the Pythagorean theorem. The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, we have a right-angled triangle with side lengths a = 6 cm and b = 8 cm. Let's call the hypotenuse c and the altitude on the hypotenuse h.
Using the Pythagorean theorem, we have:
c^2 = a^2 + b^2
Substituting the given values, we get:
c^2 = 6^2 + 8^2
c^2 = 36 + 64
c^2 = 100
To find the length of the hypotenuse c, we take the square root of both sides:
c = √100
c = 10 cm
Now, to find the altitude on the hypotenuse h, we can use the formula:
h = (a * b) / c
Substituting the given values, we have:
h = (6 * 8) / 10
h = 48 / 10
h = 4.8 cm
Therefore, the altitude on the hypotenuse is 4.8 cm.