Question

дано триуголник АБСД угл В=90. наити АВ если ДС =10 СВ=6 помагите пажалуста мне нужно для завтра контролная работа

Answer 1

Вы что то путаете, у треугольника не может быть 4 угла .

Answer 2

Solving for the Length of AB in Triangle ABCD

To solve for the length of AB in triangle ABCD, we can use the given information and apply relevant geometric principles.

Given: - Triangle ABCD with right angle at B (angle B = 90 degrees) - DS = 10 - SV = 6

Solution Steps

1. Using the Pythagorean Theorem: - In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. - We can use this theorem to find the length of AB.

2. Applying the Pythagorean Theorem: - Let's denote AB as x. - According to the Pythagorean Theorem: AB^2 = AD^2 - BD^2 - Since angle B = 90 degrees, AD = AS + SD = AV + VS = x + 6 - BD = BS - DS = 4 - 10 = -6 (since BD is the difference of BS and DS)

3. Calculating AB: - Substituting the values into the Pythagorean Theorem: AB^2 = (x + 6)^2 - (-6)^2 - Simplifying the equation and solving for x will give us the length of AB.

Let's calculate the length of AB using the given information and the Pythagorean Theorem.

Calculation

- AB^2 = (x + 6)^2 - (-6)^2 - AB^2 = x^2 + 12x + 36 - 36 - AB^2 = x^2 + 12x - AB = √(x^2 + 12x)

Now, we can proceed with solving for the length of AB using the given information DS = 10 and SV = 6.

Conclusion

By applying the Pythagorean Theorem and solving the equation, we can find the length of AB in triangle ABCD.