Which prisms are similar to a prism with a length of 10 feet, a width of 6 feet, and a height of 12 feet?

choose:
prism with a length of 5 feet, a width of 3 feet, and a height of 6 feet

prism with a length of 8 feet, a width of 4 feet, and a height of 10 feet

prism with a length of 15 feet, a width of 9 feet, and a height of 18 feet

prism with a length of 20 feet, a width of 12 feet, and a height of 24 feet

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12