A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm.
Which of the following statements is true?
A. The triangle is an obtuse triangle because (√47)^2>5^2+5^2
B.
The triangle is an acute triangle because 5^2<5^2+(√47)^2
C.
The triangle is an acute triangle because (√47)^2<5^2+5^2
D.
The triangle is a right triangle because it has two sides of equal length.
My answer for this Q is A :D
so, you're saying that 47 > 50 ?
wait so 47 dosent change?
Sorry to ask ^^;
by definition, (√47)^2 = 47
just as √2 * √2 = 2
(√x)^2 = x
That is the definition of the square root of x: the number which, when squared, produces x.
oh ok, i also have another Q sorry ^^;
do you have to find the same thing that equals to the Q?
To determine which statement is true, we need to compare the lengths of the sides of the triangle.
Let's start by squaring the lengths of the sides:
5^2 = 25
5^2 = 25
(√47)^2 = 47
Now let's compare the squares of the lengths of the sides using the Pythagorean theorem.
A. (√47)^2 > 5^2 + 5^2
47 > 25 + 25
47 > 50
This statement is false because 47 is not greater than 50.
B. 5^2 < 5^2 + (√47)^2
25 < 25 + 47
25 < 72
This statement is true because 25 is less than 72.
C. (√47)^2 < 5^2 + 5^2
47 < 25 + 25
47 < 50
This statement is also false because 47 is not less than 50.
D. The triangle is a right triangle because it has two sides of equal length.
This statement is false because a right triangle has one right angle, not just two equal sides.
Therefore, the correct answer is B. The triangle is an acute triangle because 5^2 < 5^2 + (√47)^2.