In a right-angled triangle ABC, the angle is C = 90 *. CD height. AC-8cm, CB-6cm. Find the length of the CD-?

The height in a right-angled triangle is found by the formula:

h = (a + b) / c;

Based on the data of the problem, where CD is the height (h), legs AC (a) and BC (b) and hypotenuse AB (c).

Let us find the hypotenuse AB by the Pythagorean theorem:

c ^ 2 = a ^ 2 + b ^ 2, hence AB ^ 2 = AC ^ 2 + BC ^ 2

AB ^ 2 = 8 ^ 2 + 6 ^ 2;

AB ^ 2 = 64 + 36;

AB ^ 2 = 100;

AB = 10 (cm);

Find the height of the CD:

CD = (AC + BC) / AB;

CD = (8 + 6) / 10;

CD = 48/10;

CD = 4.8 (cm);

Answer: CD height is 4.8 cm.