H = 2sqrt2
D = 6sqrt3
In a 45,45,90 triangle the hypotenuse is (x)sqrt2 while the side lengths are equivalent being a single value x. Therefore, when given the hypotenuse and solving for the leg, divide 4 by sqrt2 to get 4sqrt2/2 which simplifies to 2sqrt2 when the denominator and numerator cancel.
In a 30,60,90 triangle the short leg x is across from the 30 degree angle meaning the angle across from the 60 degree angle is x times the sqrt of 3. Therefore the long leg is 6sqrt3
Answer:
1/4
Step-by-step explanation:
Both dice have odd numbers 1, 3, 5. The chances of getting an odd number on each number is 3/6
The probability of getting odd numbers on both is:
3/6 ⋅ 3/6 = 9/36 = 1/4
Answer:
3, 5, 7
Step-by-step explanation:
As per triangle inequality theorem:
- <em>Any side of a triangle must be shorter than the other two sides added together</em>
Assume the sides are equal to 3 smallest odd numbers: 1,3 and 5
- Then 1+3< 5 and it is against the above rule, so this is not correct
The next triple is: 3, 5 and 7
- Then 3+ 5 > 7 and it is correct
So 3, 5, 7 is the combination of smallest odd numbers to make sides of a triangle
Answer:
Let x, y be the two numbers under consideration. Then, x+y<2 and x-y>1.
