A right triangle, three variable length are 6cm, 8cm, 10cm, the area of this triangle is (), the height of the hypotenuse is

A right triangle, three variable length are 6cm, 8cm, 10cm, the area of this triangle is (), the height of the hypotenuse is

Because it's a right triangle, the hypotenuse is the longest side, so it's 10
So area = 6 * 8 / 2 = 24
If the hypotenuse is used as the base to calculate the area, it can be deduced
Hypotenuse * height on hypotenuse / 2 = area
So the height on the hypotenuse = 24 * 2 / 10 = 4.8

It is known that the difference between the two right sides of a right triangle is 3cm, and the area is 14cm square. The length of the hypotenuse is calculated

Let the right edge be a, B
The area is 14cm and 178; ab = 28
a－b=3
Hypotenuse & # 178; = A & # 178; + B & # 178; = (a-b) &# 178; + 2Ab = 3 & # 178; + 56 = 65
Hypotenuse = √ 65cm

A right triangle has four right angles, the sum of which is 14cm and the area is 24cm
Thank you

Let two right angle sides be a, B and the hypotenuse be c
Then a + B = 14; AB / 2 = 24, we get 8 and 6
Then according to the Pythagorean theorem: the hypotenuse is 10