Geometry Answers

Pythagorean theorem Question

A hapless motorist is trying to find his friend's house, which is located 2.50 miles west of the intersection of State Street and First Avenue. He sets out from the intersection, and drives the same number of kilometers due south instead. How far in kilometers is he from his intended destination?

Two boats leave the same bank of sea at the same time. One goes 12km per hour in the direction N550E and other goes 16km per hour in the direction S650E. Find the distance between the boats at the end of two hours.

Q. IN THE GIVEN FIGURE WE HAVE X AND Y ARE THE MIDPOINTS OF AB AND BC RESPECTIVELY AND AX= CY. SHOW THAT AB=BC.

Find the magnitude of vector A = 3i - 2j + 2k
(a)1 (b)5 (c) 3 (d) 2

SMNF is a regular triangular pyramid. SO (height)=6cm. Measure of the SEO angle is 60 degrees. Find: MF, apothem SE, total area of pyramid, volume of pyramid and the area of the SME triangle.

https://docs.google.com/drawings/d/1lB1C5bVx0ffa-QMdn5_jty58NssietYAFYhtdQDPLfY/edit?usp=sharing

For what value of x will the angle between the lines with direction ratios (x, 2, 4) and
(1, 0, 1) be o 45 ?

Find the coordinates of the foot of the perpendicular from (3, − 2) on the line
4x + 5y −1 = 0 .

Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?

If you increase the dimensions of a square pyramid by 6 times, how much larger will the new surface area be?

1. show that points(2,-3), (5,0), (2,3), and (-1,0), are the vertices of a square.
2. the distance (x,1) is 2 square root of 5 units from (2, 3), find x.
3. what are the coordinates of the point 3 units from the Y-axis and at distance square root 5 from (5,3)?
4. what is the equation of a line through (7,-3) and perpendicular to the line whose inclination is Arctan 2/3.
5. show that lines 2x + 3Y - 2 =0, 3X - 2Y + 23 =0 and X - 5Y = 12 = 0 are the sides of an isosceles triangle.