Refer to the picture, including the ratios. What is the theorem that allows you to state that triangle def ~ triangle ghj ?
1 answer:
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Answer:
l : b = 6 : 5
Step-by-step explanation:
let's assume lenght of each congruent rectangle be x
now,
Lenght of the larger rectangle =
=》3 × lenght of smaller rectangle = 3x
but it is also equal to
=》4 × width of each smaller rectangles ( b )
so, we get :-
=》4 × b = 3x
=》b = 3x / 4
so, we get width of smaller rectangle =
now, width of larger rectangle =
=》lenght of smaller rectangle + (2 × width of smaller rectangle)
=》
=》
=》
=》
now, length of larger rectangle = 3x
width of larger rectangle = 5x/2
so l : w :-
=》
=》
=》
so, required ratio of l : b = 6 : 5
Step-by-step explanation:
4th vertex= <u>D(3,0)</u>
diagonal AC=4 units
diagonal BD=4 units
