Area of scaled down triangle

**haftakhan** · July 4th 2010, 06:59 AM

ABC is a triangle with height of 4 cm and base of 7 cm,drawn to a scale of 1cm:3km. Find the actual area of the triangle.

How to solve such questions ?

**skeeter** · July 4th 2010, 07:15 AM

Originally Posted by haftakhan

ABC is a triangle with height of 4 cm and base of 7 cm,drawn to a scale of 1cm:3km. Find the actual area of the triangle.

How to solve such questions ?

area of a triangle is $A = \frac{1}{2} bh$

if the length scale is $a:b$ , then the area scale is $a^2:b^2$

**haftakhan** · July 4th 2010, 08:03 AM

A=1/2*(4*3)(7*3)
A=126km square

Right ?

**Unknown008** · July 4th 2010, 08:36 AM

Right!

**HallsofIvy** · July 4th 2010, 11:58 AM

Originally Posted by haftakhan

A=1/2*(4*3)(7*3)
A=126km square

Right ?

Yes, that is correct.

Skeeters point was this: A triangle with height 4 cm and base 7 cm has area (1/2)(4)(7)= 2(7)= 14 square cm. Since the scale is "1 cm to 3 km", and area is "length squared", that becomes 9*14 square km= 126 square km. Of course, the way you didn't is perfectly correct (and better than following someone else's method).

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