SOLUTION: A triangle drawn on a map has sides of lenghts 7 cm, 11 cm, and 15 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances.

Question 709288: A triangle drawn on a map has sides of lenghts 7 cm, 11 cm, and 15 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A triangle drawn on a map has sides of lenghts 7 cm, 11 cm, and 15 cm. The shortest of the corresponding real-life distances is 120 km. Find the longest of the real-life distances.
-----
Use a proportion to find the life distance corresponding to 11 cm:
x/11 = 120/7
-----
x = 11(120/7)
------------
x = 188.57 km
=================================
Use a proportion to find the life distance corresponding to 15 cm:
x/15 = 120/7
x = 257.14 km
=======================
Cheers,
Stan H.
=======================
RELATED QUESTIONS
A triangle drawn on a map has sides of lengths 8 cm, 10 cm, and 15 cm. The shortest of... (answered by checkley77)

A triangle drawn on a map has sides of lengths 7 cm, 12 cm, and 14 cm. The... (answered by jim_thompson5910)

A triangle drawn on a map has sides of lengths 8.0 cm, 12 cm, ans 15 cm. The shortest of... (answered by jim_thompson5910)

A triangle drawn on a map has sides of lengths 8.0 cm, 12 cm, ans 15 cm. The shortest of... (answered by mananth)

A triangle drawn on a map has sides of lengths 8 cm, 12 cm, and 13 cm. The shortest of... (answered by edjones)

The sides of a triangle are 9 cm , 12 cm and 15 cm. Find the length of the perpendicular... (answered by DrBeeee)

A triangle has sides 3cm, 5cm and 7 cm. The longest side of a similar triangle is 12 cm.... (answered by ikleyn)

A triangle has sides 3cm, 5cm and 7 cm. The longest side of a similar triangle is 12 cm.... (answered by Shin123,ikleyn,MathTherapy)

a triangle has sides of 5 cm, 12 cm, and 13 cm. The altitude drawn to the 13 cm side cuts (answered by lynnlo)