Related Questions
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.
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.
In the given graph ABCD is a parallelogram.
Using the graph, answer the following:
(a) write down the coordinates of A, B, C and D.
(b) calculate the coordinates of ‘P’, the point of intersection of the diagonals AC and BD.
(c) find the slope of sides CB and DA and verify that they represent parallel lines.
(d) find the equation of the diagonal AC.