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Answer: The answer is 60 square inches.
Step-by-step explanation: Given that Danny has a triangular pyramid where all the four triangles are congruent. The height and base of one triangle are 6 inches and 5 inches respectively. We are to find the surface area of the pyramid.
The area of one triangle is given by
Since the pyramid consists of four congruent triangles, so the surface area of the pyramid will be
Thus, the answer is 60 sq. inches.
Let us add consecutive odd numbers and try to find any relationship.
1. 1
2. 1+3 = 4 ( square of 2 i.e )
3. 1+3+5 = 9 ( )
4. 1+3+5+7 = 16 ( )
5. 1+3+5+7+9 = 25 ( )
6. 1+3+5+7+9+11 = 36 ( )
7. 1+3+5+7+9+11+13 = 49 ( )
If we notice, the sum of the consecutive odd integers in each case is equal to the square of the place where it lies. For example, the sum of numbers in seventh place is equal to . The sum of the numbers in the fifth line is equal to
.