Question

find the length of the perpendicular drawn from the point (3,4) to the straight line 3x - 4y + 10 = 0

Answer 1

Answer:

$3 \div 5 = 0.6$

Answer 2

3/5 cm is the length of the perpendicular drawn from the point (3,4) to the straight line 3x - 4y + 10 = 0.

Given,

Point (3, 4)

Straight line 3x - 4y + 10 = 0

The perpendicular distance between a point and a line is given by,

P = | 3 (3) - 4 (4) + 10 / √ (3^3 + (-4)^2 ) |

= | 9 - 16 + 10 / √ (9 + 16) |

= | 3 / 5 |

= 3/5