Question

A square pyramid with a = 15 inches and d 72 inches is shown.
a
b
d
C
What are the lengths of leg b and hypotenuse c in triangle abc?
Drag a number into each box.
b=?inc
c=?inc

Answer 1

I don’t have the diagram — could you upload it or confirm which segments are which? Right now it’s ambiguous what d, a, b, c label.

Two common interpretations and their results:

1) If triangle ABC is a right triangle with leg a = 15 and hypotenuse c = d = 72, then
- b = sqrt(72^2 − 15^2) = sqrt(4959) ≈ 70.42 in
- c = 72 in

2) If d = 72 is a lateral edge of the square pyramid and triangle ABC is the cross‑section through the apex and a base corner and the base center, then the horizontal distance from the center to a corner is (15√2)/2, so
- b (vertical height) = sqrt(72^2 − ((15√2)/2)^2) = sqrt(5184 − 112.5) = sqrt(5071.5) ≈ 71.20 in
- c (hypotenuse across that cross section) would then be 72 in (the lateral edge), or if you mean the slant from apex to midpoint of a side, compute that separately.

Tell me which labels correspond to apex, base center, corner, or midpoint (or upload the image) and I’ll give the exact values to place in the boxes.