If the ratio of the right side to the hypotenuse of a right triangle is 2:3 and the length of the hypotenuse is 20, the area of the triangle can be obtained

If the ratio of the right side to the hypotenuse of a right triangle is 2:3 and the length of the hypotenuse is 20, the area of the triangle can be obtained


The ratio of right angle side to hypotenuse side is 2:3
Hypotenuse 20
Then the right angle side 20 × 2 △ 3 = 40 / 3
The other right angle side √ [20 & # 178; - (40 / 3) &# 178;] = 20 √ 5 / 3
Area required = (40 / 3) * (20 √ 5 / 3) / 2 = 400 √ 5 / 9



If we know that the length of a right triangle is 9 / 2 and the hypotenuse is 2, we can find the area of the triangle. Who will?


In addition, the length of the two right angles is a + B = 9 / 2-2 = 2.5
a²+b²=2²
(a+b)²
=a²+b²+2ab=(2.5)²
That is, 2Ab = 2.25
ab=1.125
So area = (1 / 2) AB = 0.5625



What is the height on the hypotenuse of a right triangle


The height on the hypotenuse of a right triangle = the product of two right angles △ hypotenuse