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Step-by-step explanation:
Answer: The perimeter of the largest triangle = 117 units.
Step-by-step explanation:
Sides of smaller triangle = 10,20 and 15 units
Longest side = 20 units
Longest side of larger triangle = 52 units
Sides of two similar triangles are proportional.
Let k be proportionality constant.
Length of other two sides,
So sides of larger triangle = 52 units, 26 units , 39 units
Perimeter of largest triangle = 52 +26+39 = 117 units
Hence, the perimeter of the largest triangle = 117 units.
The length of BC = 72
Solution:
Given ΔABC and ΔDEF are similar triangles.
ΔABC ΔDEF
AB = 54, BC = n, EF = 12, DE = 9
Similar triangle theorem:
If two triangles are similar then the corresponding sides are proportional to each other.
Substitute the given values, we get
Do cross multiplication.
Divide both sides of the equation by 9.
⇒ BC = 72
Option B is the correct answer.
The length of BC = 72.