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laiz [17]
3 years ago
7

Help please! WILL GIVE BRAINLIEST

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

A and D can be automatically eliminated since the a side cannot be longer than the hypotenuse in a triangle.


Recognize that the two triangles are similar triangles, you get

2.7/3.6 = h/1.5 => h = 1.125.

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Answer:

(a) AD=6 cm

(b) 66 cm²

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Step-by-step explanation:

(a) To get the length of AD, we can use pythagoras on the triangle part. Let's say the dotted line intersects DC at E. Then since AB and DC are parallel, AD is equal to BE. EC = 8 cm simply by subtracting AB from DC (15-7=8).

Then pythagoras says that 8²+BC²=10². So BC = √(100-64) = 6. And since BC=AD, AD is also 6.

(b) Area of the rectangle DEBA is 7*6 = 42. Area of triangle ECB is base times half height: 8*3 = 24. Sum is 42+24 = 66 cm²

(c) Perimeter is 7+10+15+6 = 38 cm. Add all the side lengths.

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