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If all the sides of a triangle are longer than 1000 cm, can its area be less than 1 cm²
Answers
Step-by-step explanation:
If one side (non-hypotenuse) of a right triangle is 1 cm longer than the other side and the hypotenuse is 1cm less than 2 times the shorter side, what is the length of all the sides?
According to the question if shorter side of two mutual perpendicular is x cm , the longer one =x+1 cm ,and hypotenuse = 2x- 1 cm. Applying Pythagoras theorem , x^2 +(x+1)^2= (2x-1)^2
=> x^2 + x^2+2x+1 = 4x^2 -4x +1
=> 2x^2 -6x =0 ,=> 2x(x-3)= 0 , as x≠0 ,x -3=0
=> x=3 cm, the other sides are 3+1=4 cm , and hypotenuse = 2*3 -1 = 5 cm
The hypotenuse of a right triangle is 1m less than twice the shortest side. If the third side 1m more than the shortest sides, what are the sides of the triangle?
A right-angled triangle is drawn so that the hypotenuse is twice the shortest side plus 1 cm, and the other side is twice the shortest side less 1 cm.Can you find the length of the hypotenuse?
If the smallest side of the right angle triangle is 13cm, then what will the measurement of hypotenuse be?
Let’s assume you have a right triangle with an opposite side length of 1 cm, and an adjacent side length of I cm. How long is the hypotenuse of this triangle? We will assume that I is the imaginary unit.
The hypotenuse of a triangle is 6 cm more than twice of the smallest side. The length of the third side is 2 cm less than its hypotenuses. What is the length of its sides?
Shortest side = x
The other side = x+1
Hypotenuse = 2x-1
By Pythagoras law
(2x -1)^2 = (x+1)^2 + x^2
=> 4x^2 -4x +1 = 2x^2 +2x +1
=> 2x^2 - 6x = 0
=> 2x( x-3) = 0
=> x= 3
=> all the sides are 3cm, 4cm, 5cm