Two triangles are similar . The sides of the smaller triangle have lengths of 8,12, and 16 centimeters. The perimeter of the larger triangle is 54 centimeters. Find the length of the shortest side of the triangle.
Answers
Answer:
The shortest side of the larger triangle is 12 cm
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its perimeters is equal to the scale factor
step 1
Find the perimeter of the smaller triangle
step 2
Find the scale factor
Divide the perimeter of the larger triangle by the perimeter of the smaller triangle
so
step 3
Find the length of the shortest side of the larger triangle
Multiply the shortest side of the smaller triangle by the scale factor
so
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draw an immaginary line diagonal
now yo has right triangle
pythagorean theorem
if yo has a right triangle with legs legnth a and b and hypotonuse c (diagonal), then a^2+b^2=c^2
legs are 24 and 18
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Answer:
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Step-by-step explanation:
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