
Дано авс угол А= 90 градусов ,ад высота , вд=36 см ,дс=8 см. Найти ав ас ад .


Ответы на вопрос




АД=√ВД*ДС=√36*8=√288
ВА=√36²+288=√1584
АС=√44²-1584=√1936-1584=√352 44-длина стороны ВС



Given Information
We are given the following information: - Angle A = 90 degrees - Height AD = 36 cm - DS = 8 cmWe need to find the lengths of AB, AS, and AD.
Solution
To find the lengths of AB, AS, and AD, we can use the properties of right-angled triangles.Let's start by finding the length of AB. We can use the Pythagorean theorem, which 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 other two sides.
In this case, AB is the hypotenuse, and AD and DS are the other two sides. So we have:
AB^2 = AD^2 + DS^2
Substituting the given values, we get:
AB^2 = 36^2 + 8^2
Calculating this, we find:
AB^2 = 1296 + 64 = 1360
Taking the square root of both sides, we get:
AB = √1360 ≈ 36.97 cm
So the length of AB is approximately 36.97 cm.
Next, let's find the length of AS. AS is the adjacent side to angle A in the right-angled triangle. We can use trigonometric ratios to find AS.
In this case, we can use the cosine ratio:
cos A = AS / AB
Substituting the given values, we have:
cos 90° = AS / 36.97
Since cos 90° = 0, we can solve for AS:
0 = AS / 36.97
AS = 0
So the length of AS is 0 cm.
Finally, we already know the length of AD from the given information, which is 36 cm.
To summarize: - AB ≈ 36.97 cm - AS = 0 cm - AD = 36 cm
Please note that the length of AS is 0 cm because angle A is a right angle, and the adjacent side to a right angle is always 0.
I hope this helps! Let me know if you have any further questions.


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