one leg of a right triangle is 9 m and the hypotenuse 9√2m. find the length of the other leg.
one leg of a right triangle is 9 m and the hypotenuse 9√2m. find the length of the other leg.the length of the other leg is \_\_\_\_ m.
hello, red.since the triangle is a right triangle, you can use the pythagorean theorem.let x be the length of the unknown side.then,92 + x2 = (9√2)281 + x2 = 81·2 = 162x2 = 162 - 81x2 = 81take the square root of both sides.x = ±9since the length cannot be a negative number, x = 9 m
the sides of the triangle are 6 cm, 8 cm and 10 cm. the longest side is 10 cm. (10)2 = 100 ….(i) now, the sum of the squares of the other two sides will be, (6)2 + (8)2 = 36 + 64 = 100 ….(ii) (10)2 = (6)2 + (8)2 ….. from (i) and (ii) by the converse of pythagoras theorem: the given sides form a right angled triangle. By Pythagoras, if the sum of squares of two sides is equal to the square of the largest side then the triangle is said to be right-angled


Here given sides of the triangle are 7, 24 and 25


Largest side = 25


252 = 625  Sum of squares of remaining two sides 72 + 242 = 49 + 576 = 625


∴ 72 + 242 = 252 Therefore triangle having sides 7,24 and 25 is a right-angled triangle let abc be the trianglewhere ab=(a-1)2 cmbc=2√a cmca=(a+1) cmab2=(a-1)2=a2+1-2abc2=(2√a)2=4a2ca2=(a+1)2=a2+1+2ahence ab2+bc2=ac2so Δabc is a right angles triangle at b a. dimensions of h = [l]dimensions of s = [mt-2]dimensions of ρ = [ml-3]dimensions of r = [l]dimensions of g = [lt-2]checking the r.h.sdimensionally= = [m0l1t0]a. is dimensionally correctb. dimensions of v = [lt-1]dimensions of p = [ml-1t-2]dimensions of ρ = [ml-3]checking the r.h.sdimensionally= b. is dimensionally correctc. dimensions of v = [l3]dimensions of p = [ml-1t-2]dimensions of r4 = [l4]dimensions of t = [t]dimensions of l = [l]dimensions of η = [ml-1t-1]checking the r.h.sdimensionally= =[l3]c. is dimensionally correctd. dimensions of v = [t-1]dimensions of m = [m]dimensions of g = [lt-2]dimensions of l = [l]dimensions of i = [ml2]checking the r.h.sdimensionally= d. is dimensionally correct given: (i) xy = 4.5cm

(ii) yz = 5 cm

(iii) zx = 6 cm

to construct: a xyz

steps for construction

step 1 : first we will draw a line segment xy of length 4.5cm



step 2 : we have to draw an arc , taking x as center and radius 6cm



step 3 : we have to another arc, with radius 5cm and center at y and mark the intersection of arcs as z.



step 4 : we have to join xz and xy



this is the required triangle area of trapezium = area of trapezium = = therefore = 24 cm the centimetre (cm) is a unit of length in the metric system, equal to one-hundredth of a meter. the millimetre (mm) is a unit of length in the metric system, equivalent to one-thousandth of a meter and is the si base unit of length. 1 mm = 1/10 cm 1 mm = 0.1 cm to convert the unit of length in millimetres to centimetres follow the below steps: take the value of length in millimetres and multiply it by 0.1 cm the obtained value is the answer in centimetres 25mm x 0.1cm= 2.5 cm answer hence, 25 mm = 2.5cm Δl =l αΔt =2 •10⁻²•14•10⁻⁶•70=1.96•10⁻⁵m=1.96•10⁻² mm eliminte ?, 1) if x=3 sec ? + 4 tan ? and y=4 sec ?- 3 tan ?. 2) the angles of dipression of the top and bottom of 8 meter tall building from the top of multistoried building are 30â° and 45â° respectively.find the height of multistoried building and the distance between two buildings (?3=1.73) first draw the directions, i recommand you draw them as vectors (like arrows):

- north points to the top
- south points to the bottom
- east points to the right
- west points to the left

now lets draw a line from the center of your "+"-sign at about a 45 degree angle to the top right.

this is the hiker that travels northeast. now the next hiker is simple, you just draw a line from the center to the east. that would be a straight line.

now we assume that the angle between the two hikers is 45 degrees. because that's one piece of the given information.

let's calculate how far the first hiker has traveled: 7,5 x 2 = 15 km.
let's calculate how far the second hiker has traveled: 6 x 2 = 12 km.

now we can use sine to calculate the distance between the two hikers.
note: please set your calculator on degrees. we call hiker's distance: x.

sin(45) = x / 15
15 * sin(45) = x

now we know the distance between the two hikers.

greetx jtk