The length, in cm, of the sides of a right angled triangl...
The length, in cm, of the sides of a right angled triangle are x, (x+2) and (x+1) where x > 0. Find , in cm, the length of its hypotenuse
4
5
13
17
Correct answer is B
(x+2)2=x2+(x+1)2
x2+4x+4=x2+x2+2x+1
2x2−x2+2x−4x+1−4=0
x2−2x−3=0
x2−3x+x−3=0⟹x(x−3)+1(x−3)=0
(x−3)(x+1)=0⟹x = 3 or -1
x>0⟹x=3
The longest side = 3 + 2 = 5.
Marks 2 3 4 5 6 7 8 9 No. of students 3 4 1 0 4 5 2 1 The table above shows the distribut...
In the diagram, PQ and PS are tangents to the circle O. If PSQ = m, <SPQ = n and <SQR = 33\(^o...
The diagonals of a rhombus are 16cm and 30cm long. What is the perimeter of the rhombus ...
A chord of a circle radius √3cm subtends an angle of 60° on the circumference of ...
Given that log3 27 = 2x + 1, find the value of x....
Find the value of log10 r + log10 r2 + log10 r4 + log10 r8 + log10 r16 + log10 r32 = 63...
x0246y1234. The table is for t...
What percentage of observation lie outside interquartile range of any distribution? ...