Answer:
Set 1 Yes
Set 2 No
Set 3 and Set 4 ???
Step-by-step explanation:
Use the converse of the Pythagorean theorem. Square the lengths and see if 2 results add up to the third result.
So, Set 1
100 + 576 = 676 Therefore we have a right triangle
Set 2
16 + 4 ≠ 36 Therefore we do NOT have a right triangle
I will let you do Set 3 and Set 4. OK?
48 = 2*2*2*2*3
84 = 2*2*3*7
Looking for common factors we get the GCF to be 2*2*3 = 12
Its B
longest leg = 2
The longest leg is opposite the 60° angle
= 4 × sin60°
= 4 × / 2 = 2
In the triangle, the fact that wee are given 2AX = 3XD isn't enough to prove similarity.
<h3>How to explain the triangle?</h3>
a. In the question, we are given 2AX = 3XD. An arbitrary triangle AXB can be drawn where one extends AX and choose a point D on the extended line in order for 2AX = 3XD. Also, extend BX and choose a point C on the line so that 2BX = XC. Even though they both satisfy the condition, they're not similar.
b. We are given that AX/BX = DX/CX. When this is rearranged, we'll have AX/DX = BX/CX. In this case, let AX/DX = k. DX and AX will align upon rotation of 180°. The triangle can then be dilated by a factor of k. This brings about the mapping of triangle DXC to AXB. Therefore, the original triangle DXC is similar to AXB.
c. Lines AB and CD are parallel. Here, the dilation moves line CD onto line AB. Here, since the dilation moves D to a point on ray XA, D must move to A. Therefore, the rotation of triangle DXC is similar to AXB. Therefore, DXC is similar to AXB.
d. Here, angle XAB is congruent to angle XCD. This shows similarity and in this case, XCD is similar to XAB.
Learn more about triangles on:
brainly.com/question/28021872
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Answer:
x = 7/12
Step-by-step explanation:
We start off by multiplying both sides by 4:
4(x-2) = 3(2-x)
Distribute the 4 and the 3:
4x - 8 = 6 - 3x
Bring all the terms with the x at the first side:
4x + 3x = 6 + 8
7x = 12
x = 7/12
