A right-angled triangle has sides of lengths (x + 5) cm, (x - 3) cm and 9 cm.

1 answer:

7 0

I’m assuming that 9cm is the hypotenuse of the triangle.
By using Pythagorean’s theorem
α²+b²=c²
in this case, c =9
So, (x+5)² + (x-3)² =(x+5)(x+5) + (x-3)(x-3)
=x²+5x+5x+25+x²-3x-3x+9
=2x²+4x+31=81
And by solving the equation, you get two x values, but since you can’t have x as a negative figure, the positive figure being 3.9498, x=3.95 (corrected to 3 significant figures)

You might be interested in

Can somebody plz help me with surveys in math?

Gre4nikov [31]

What are the surveys??

7 0

3 years ago

The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance wo

Keith_Richards [23]

This question has this set of answer choices:

a) when the plane cuts three faces of the cube, separating one corner from the others

b) when the plane passes through a pair of vertices that do not share a common face

c) when the plane is perpendicular to the base and intersects two adjacent vertical faces

d) when the plane makes an acute angle to the base and intersects three vertical faces

e) not enough information to answer the question

The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others

You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.