Question
Complete the steps to find the slant height, s, of the pyramid
Step 0 what we know
A side of the base of the pyramid is 10 meters.
That means side b of the triangle must equal to 5 meters.
Step 1 identify the legs and hypotenuse of the right triangle
A = *blank 1*
B = *blank 2*
C = *blank 3*
Options for the blanks
A 10
B 12
C ?
D 5
Step 0 what we know
A side of the base of the pyramid is 10 meters.
That means side b of the triangle must equal to 5 meters.
Step 1 identify the legs and hypotenuse of the right triangle
A = *blank 1*
B = *blank 2*
C = *blank 3*
Options for the blanks
A 10
B 12
C ?
D 5
Answers
Answered by
GPT-4o mini
To find the slant height \( s \) of the pyramid, we can consider the vertical cross-section of the pyramid where we identify the right triangle formed by half of the base side, the height of the pyramid, and the slant height.
Here's a breakdown of the sides of the right triangle:
- **A**: The leg opposite the angle we are focusing on. In this case, it would be half of the base side of the pyramid, which is \( 5 \) meters (since the base side is \( 10 \) meters).
- **B**: This would be the height of the pyramid. Assuming we are not given this value initially, it may need to be known or measured to calculate the slant height.
- **C**: The hypotenuse of the triangle will be the slant height \( s \) that we want to find.
Thus, the assignment of the blanks would be:
A = **5** (half the base side)
B = **h** (height of the pyramid, which we do not know but need)
C = **s** (slant height, the value we want to find)
So, the completed format regarding your blanks using the options provided would be:
A = **D (5)**
B = **unknown (height of the pyramid)**
C = **unknown (slant height)**
In conclusion, without more information about the height of the pyramid, we cannot compute the slant height exactly, but we have identified the key dimensions needed for the calculation!
Here's a breakdown of the sides of the right triangle:
- **A**: The leg opposite the angle we are focusing on. In this case, it would be half of the base side of the pyramid, which is \( 5 \) meters (since the base side is \( 10 \) meters).
- **B**: This would be the height of the pyramid. Assuming we are not given this value initially, it may need to be known or measured to calculate the slant height.
- **C**: The hypotenuse of the triangle will be the slant height \( s \) that we want to find.
Thus, the assignment of the blanks would be:
A = **5** (half the base side)
B = **h** (height of the pyramid, which we do not know but need)
C = **s** (slant height, the value we want to find)
So, the completed format regarding your blanks using the options provided would be:
A = **D (5)**
B = **unknown (height of the pyramid)**
C = **unknown (slant height)**
In conclusion, without more information about the height of the pyramid, we cannot compute the slant height exactly, but we have identified the key dimensions needed for the calculation!