find the ratio between the the area triangle abc and area triangle acd ab = 4cm and bc = 3cm
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the ratio is 1:1
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ratio =1:1
first by Pythagoras theorem we will find the h(diagonal of ABCD or hypotenuse of triangle abc and adc
h²=b²+p²
=4²+3²=16+9=25
h²=25
h=√25=5
by heron's formula we will find the area
s=a+b+c/2
=3+4+5/2=12/2=6
area of triangle=√s(s-a) (s-b) (s-c)
=√6(6-3)(6-4)(6-5)
=√6*2*3*1
=√6*6
=√6²=6cm²
as the parallel sides of the rectangle are equal so ab=cd=4cm,
in triangle abc and adc
ab=cd(4cm)
bc=ca(3cm)
ac=ac (common)
as ∆ abc is congruent to ∆ adc
so area of ∆ abc will be equal to ∆ adc = 6cm²
ratio=6:6=1:1
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