Mathematics
In ΔABC, ∠ABC = 90°, AB = 20 cm, AC = 25 cm, DE is perpendicular to AC such that ∠DEA = 90° and DE = 3 cm as shown in the given figure.
(a) Prove that ΔABC ~ ΔAED.
(b) Find the lengths of BC, AD and AE.
(c) If BCED represents a plot of land on a map whose actual area on ground is 576 m2, then find the scale factor of the map.
Related Questions
Solve the following quadratic equation 2x2 − 5x − 4 = 0. Give your answer correct to three significant figures.
Mrs. Rao deposited ₹ 250 per month in a recurring deposit account for a period of 3 years. She received ₹ 10,110 at the time of maturity. Find:
(a) the rate of interest.
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Use ruler and compass for the following construction. Construct a ΔABC, where AB = 6 cm, AC = 4.5 cm and ∠BAC = 120°. Construct a circle circumscribing the ΔABC. Measure and write down the length of the radius of the circle.