The base of a triangle of a given area varies inversely as the height. A triangle has a base of 18cm and a height of 10cm. Find the height of a triangle of equal area and with base 15cm

bolton8l 2022-10-08 Answered
The base of a triangle of a given area varies inversely as the height. A triangle has a base of 18cm and a height of 10cm. Find the height of a triangle of equal area and with base 15cm
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Answers (1)

Nadia Berry
Answered 2022-10-09 Author has 7 answers
The area of a triangle can be determined with the equation a r e a = 1 2 b a s e h e i g h t
Find the area of the first triangle, by substituting the measurements of the triangle into the equation.
A r e a = 1 2 18 10
= 90 c m 2
Let the height of the second triangle =x.
So the area equation for the second triangle = 1 2 15 x
Since the areas are equal,
90 = 1 2 15 x
Times both sides by 2.
180=15x
x=12
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