Isosceles triangle

In an isosceles triangle, the arm's length and the length of the base are in a ratio of 3 to 5. What is the length of the arm?

Correct answer:

r =  375 mm

Step-by-step explanation:


1375 = 2·r+z
r = 3/5 · z

2r+z = 1375
5r-3z = 0

Pivot: Row 1 ↔ Row 2
5r-3z = 0
2r+z = 1375

Row 2 - 2/5 · Row 1 → Row 2
5r-3z = 0
2.2z = 1375


z = 1375/2.2 = 625
r = 0+3z/5 = 0+3 · 625/5 = 375

r = 375
z = 625

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