Answer: D.
Step-by-step explanation:
In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.
∵ In a triangle, the side opposite to the largest angle is largest.
Thus, the largest side in then given obtuse triangle= c
The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.
Therefore, we have
Hello.
In 10 years, his age will be
The sum of his current age and 10 equals his age in 10 years.
2 years ago his age was
The difference of his current age and 2 equals his age 2 years ago.
7 years ago his age was
The difference of his current age and 7 equals his age 7 years ago.
Therefore, his age after 10 years will be , his age 2 years ago was
, and his age 7 years ago was
I hope it helps.
Have a nice day.
Given:
A prism with height 5 cm and equilateral triangular base with side 2 cm.
To find:
The total surface area of the prism.
Solution:
Area of an equilateral triangle is:
Where, a is the side length.
Putting , we get
The base and top of the prism are congruent so their area must be equal.
The lateral surface area of the prism is:
Where, P is the perimeter of the base and h is the height of the prism.
The lateral surface area of the prism is:
Now, the total surface area is the sum of areas of bases and lateral surface area.
Therefore, the total surface area is 33.46 cm².