If base & height of given two triangles are equal then area of that two triangles are -------------
A) different
B) equal
C) Zero
D) Not defined
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Answers
Answer:
b) equal as both had equal area so base and height will also be equal
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To prove: The ratio of the areas of two triangles of the same height is equal to the ratio of their bases.
Proof:
Let us take triangle T
1
with height h
1
and base b
1
and Triangle T
2
with height h
2
and base b
2
.
It is also given that height of the two triangles is equal so, we can consider that h
1
=h
2
=h.
Area of Triangle T
1
=
2
1
×base×height
=
2
1
×b
1
×h
1
Area of Triangle T
2
=
2
1
×base×height
=
2
1
×b
2
×h
2
Now, the ratio of area of two triangles is,
Area of triangleT
2
Area of triangleT
1
=
2
1
×b
2
×h
2
2
1
×b
1
×h
1
=
b
2
×h
b
1
×h
=
b
2
b
1
Hence, proved.
oh man, I've attempted for suicide many times