Question

using determinants find the equation of the line passing through the point (6, 4) and (-2, 3)
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Answer 1

Step-by-step explanation:

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