darryealtate1 darryealtate1
  • 01-05-2018
  • Mathematics
contestada

a triangle with a base of 6cm and a height of 8cm is similar to a triangle with base 21cm. What is the height of the second triangle

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Supernova
Supernova Supernova
  • 01-05-2018
Make a proportion.

Do base over height; [tex] \frac{base}{height}[/tex].

[tex] \frac{6}{8} = \frac{21}{h} [/tex]
h is the height of the second triangle. Solve for h.

Cross multiply.
[tex] \frac{6}{8} = \frac{21}{h} [/tex] 
6h = 168
h = 28

The height of the second triangle is 28 cm.
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