1/3, because the probability in the cube is 1/6, and there are 2 numbers less than 3. So, 2/6 and simplify 2/6 to 1/3.
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
We know that an isosceles triangle has 2 equal sides.
We can represent the equal sides with x, and the base with y:
2x + y = 15.6
Given states that y = x - 3, so:
2x + x - 3 = 15.6
3x = 18.6
x = 6.2
y = 3.2
The sides are 6.2 m, and the base is 3.2 m.
Answer: For this equation b=-63
