SOLUTION: two side of a triangle are 6 and 8 Cm. If height of the triangle corresponding to 6 cm. side is 4 cm. find area and height of the triangle corresponding to 8 cm.side

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Question 973361: two side of a triangle are 6 and 8 Cm. If height of the triangle corresponding to 6 cm. side is 4 cm. find area and height of the triangle corresponding to 8 cm.side
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What is this, "height of the triangle corresponding to 6 cm. side is 4 cm. "?
You must mean something else. How does 4 cm correspond to 6 cm? Describe the other triangle.

......Now, I understand.
TWO triangles. sides 6 cm and 8 cm of one triangle correspond to 4 cm and y cm of the other triangle. 6 cm of the one triangle is also the height, so these two triangles both are right-triangles.

6%2F4=8%2Fy

2%2F3=y%2F8

%282%2F3%298=y

y=16%2F3.

The one triangle has base 8 cm and height 6 cm.
Area, %281%2F2%298%2A6
The other triangle has base 4 cm and height 16/3 cm.
Area, %281%2F2%294%2A%2816%2F3%29;
Simplify or compute each area.