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irga5000 [103]
3 years ago
14

The area of the small triangle is 10.5 meters squared and the area of the larger triangle is 94.5 meters squared. If the altitud

e of the large triangle is 9, what is the altitude of the smaller triangle?
Geography
1 answer:
Arlecino [84]3 years ago
3 0
We have two similar triangles.
A ( small ) = 10.5 m²
A ( large ) = 94.5 m²
h ( small ) = ?   and h ( large ) = 9 m.
A s : A l  = h s² : h l ²
10.5 : 94.5 = h s² : 9²
h s² * 94.5 = 81 * 10.5
94.5 h s² = 850.5
h s² = 850.5 : 94.5
h s² = 9
h s = √ 9
h s = 3 m
Answer: The altitude of the smaller triangle is 3 m.
 
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