if angle 1 and angle 2 are vertical angles, angle 2 and angle 3 are complementary angles and the measure of angle 3 is 56 degree
1 answer:
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Answer:
<em>Scale factor: 2</em>
<em>PR = 14</em>
<em>Perimeter = 34</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Similar triangles are those who have their corresponding side lengths proportional, i.e. the ratio of the corresponding sides is equal.
The figure shows similar triangles ABC and PQR. We can also see corresponding sides BC and QR have lengths 6 and 12 respectively.
The scale factor is
The rest of the sides can be calculated by using the per-image triangle ABC side lengths and the new-found scale factor. Thus:
PR = AC*2 = 7*2 = 14
PR = 14
PQ = AB*2 = 4*2 = 8
The perimeter of the triangle PRQ is the sum of its side lengths:
P = 12 + 14 + 8 = 34
Answers:
Scale factor: 2
PR = 14
Perimeter = 34
Answer:
Step-by-step explanation:
Multiply both sides by 34:
Multiply both sides by 34:
Let 
the length of the shorter leg
Let
the length of the longer leg
Let
the length of the hypotenuse
Pythagorean Theorem:
⇒
Substitute a new variable
into 
⇒
⇒
⇒
⇒
⇒
⇒
or 
Since 9 is a perfect square, we go with
⇒
Plug
into
⇒
⇒
⇒
Plug into
⇒
⇒
⇒
So the triangle is a 3-4-5 right triangle.
Let
Let
Pythagorean Theorem:
⇒
Substitute a new variable
⇒
⇒
⇒
⇒
⇒
⇒
Since 9 is a perfect square, we go with
⇒
Plug
⇒
⇒
⇒
Plug
⇒
⇒
⇒
So the triangle is a 3-4-5 right triangle.