Question

Find the gradients of line segments (a) RS. (b) PQ in figure 4.2

Answer 1

Answer:

It has given that, sides of a right angled triangle are ; 6 cm, 8cm and 10 cm.

we have to find the length of perpendicular drawn to the hypotenuse from the opposite vertex.

solution : let length of perpendicular drawn to the hypotenuse is x cm.

let right angled triangle is ∆ABC where B is right angle. and we draw a perpendicular B to AC which touches AC at T.

here, ∠BAT = ∠BAC

and ∠BTA = ∠ABC

so, ∆ATB ~ ∆ABC

then, AB/AC = BT/BC

⇒6cm/10cm = BT/8 cm

⇒BT = 48/10 = 4.8 cm

Therefore the length of perpendicular drawn to hypotenuse is 4.8 cm