Ross calculated the missing side length of one of these triangles using the pythagorean theorem. which triangle was it? four triangles e, f, g, h are shown from left to right. triangle e has two sides labeled 2 each, and the included acute angle is shown. triangle f has one side labeled as 2 and the other as 3, and the included right angle is shown. triangle g has one side labeled as 4 and the other as 2, and the included obtuse angle is shown. triangle h has one side labeled as 6 and the other as 7, and the included acute angle is shown. e f g h question 4(multiple choice worth 5 points)

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