If the ratio of the two right sides of a right triangle is 3:4 and the length of the oblique side is 20cm, the height of the oblique side is______ ．

Let two right angle sides be 3xcm and 4xcm, the height on the hypotenuse be YCM, (3x) 2 + (4x) 2 = 202, x = 4.3x = 3 × 4 = 12.4x = 4 × 4 = 16.12 · y · 20 = 12 × 12 × 16y = 9.6. The height on the hypotenuse is 9.6cm

The length of two sides of right triangle is 10cm and 20cm respectively. Find the third side

According to Pythagorean theorem, let the third side be x, then
1. When x is the longest edge
X = radical (10 * 10 + 20 * 20) = 10 radical 5
2. When 20cm is the longest side
X = root (20 * 20-10 * 10) = 10 root 3

The two right sides of a right triangle are 40cm and 50cm respectively. The length of the hypotenuse is 50cm. What is the height of the hypotenuse?

-- this This is not a right triangle

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