Mathematics, 04.05.2021 06:40 gracebuffum

Calcula la diagonal de un rectángulo cuyos lados tienen las siguientes medidas. a. 5 dm y 4 dm
b. 8 cm y 6 cm

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Answer from: melissacornut

Las longitudes de las diagonales son √41 dm y 10 cm respectivamente

La medida de la diagonal de un rectángulo: de lado l1 y l2 es igual a

d² = (l1)² + (l2)²

La diagonal entonces es: utilizamos la fórmula dadas para los lados dados y aplicando raíz en la ecuación

A. 5dm y 4dm

d = √((5 dm)² + (4 dm)²) = √(25 + 16) dm = √41 dm

B. 8cm y 6cm

d = √((8 cm)² + (6 cm)²) = √(64 + 36) cm = √100 cm = 10 cm .

Answer from: Quest

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step-by-step explanation:

Answer from: Quest

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

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Calcula la diagonal de un rectángulo cuyos lados tienen las siguientes medidas. a. 5 dm y 4 dm

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