If the sum of the squares of the two legs of a triangle does not equal the square of the third side, what can you conclude?
1 answer:
Answer:
The triangle is not right angled.
Step-by-step explanation:
According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.
For example, in triangle ABC,
It shows, that the triangle ANBC is right angled and right angle is at C.
So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.
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Answer:
Answer is in attached image.
Step-by-step explanation:
Given the expressions, for which we have to find the estimates as per the expressions on the left.
The given expressions are:
1) 35 23
2) 132 168
3) 17.3 18.4
4) 999 208
5) 998 211
Here, we need to find the rounded off numbers.
35 can be rounded to 40 and 23 to 20.
Therefore, equivalent to 35 23 is 40
20
132 can be rounded to 130 and 168 to 170.
Therefore, equivalent to 132 168 is 130
170.
17.3 can be rounded to 17.0 and 18.4 to 18.0.
Therefore, equivalent to 17.3 18.4 is 17.0
18.0.
999 can be rounded to 1000 and 208 to 210.
Therefore, equivalent to 999 208 is 1000
210.
998 can be rounded to 1000 and 211 to 210.
Therefore, equivalent to 998 211 is 1000
210.
The solution can be found in the attached image as well.
Answer:
<h3>B. 4units</h3>Step-by-step explanation:
Find the diagram attached. The diagram is a similar triangle.
From the diagram, XZ/XY = CA/AB
Given XZ = 2x-2+2x-2 = 4x-4
XY =5x-7
CA = 2x-2
AB= x+1
On substituting this parameters into the formula to get x first
4x-4/5x-7 = 2x-2/x+1
cross multiply
(4x-4)(x+1) = 5x-7(2x-2)
open the parenthesis
4x²+4x-4x-4 = 10x²-10x-14x+14
4x²-4 = 10x²-24x+14
10x²-4x²-24x+14+4 = 0
6x²-24x+18 = 0
x²-4x+3 = 0
x²-3x-x+3 = 0
x(x-3)-1(x-3) =0
(x-3)(x-1) = 0
x = 3 and 1
Next is to get length AX.
Given AX = 2x-2
Substitute x = 3 into the expression
AX = 2(3)-2
AX = 6-2
AX = 4 units
Hence the measure of length AX is 4 units
