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Need help on geometry please someone ....

Need help on geometry please someone ....-example-1
Need help on geometry please someone ....-example-1
Need help on geometry please someone ....-example-2
Need help on geometry please someone ....-example-3

2 Answers

2 votes
idk the first one but the second is 5.29,and the last is not here
User Derabbink
by
5.5k points
1 vote
1. Remember that the converse of the Pythagorean theorem says that if the square of the longest side of a triangle is equal to the sum of the squares of its smaller side, the triangle is a right one:
We know from our problem that the longest side is 106, and the smaller sides are 56 and 90, so:

106^2=56^2+90^2

11236=3136+8100

11236=12236

We can conclude that our triangle is a right triangle. The correct answer is the first choice: right

2. First, we are going to find
y using the fact that the two triangles are similar:

(7)/(y) = (y)/(4)

y^2=28

y= √(28)

Next, we are going to use the Pythagorean theorem to find
x:

x^2= 4^2+( √(28) )^2

x^2=16+28

x^2=44

x= √(44)

x=6.63

We can conclude that the correct answer is the third choice: 6.63

3. To solve this, we are going to use the Pythagorean theorem one more time. We know that the longest side of our triangle is 25, and the shorter sides are 7 and
x, so:

25^2=7^2+x^2

625=49+x^2

x^2=576

x= √(576)

x=24

We can conclude that the correct answer is the first choice: 24


User Leyvi
by
5.3k points