Answer:
(a) AD=6 cm
(b) 66 cm²
(c) 38 cm
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.
Answer:
see attached
Step-by-step explanation:
The two different triangles can be formed by placing the 90° angle adjacent to, or opposite the given side.
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In the attached diagram, the two triangles are ABC and ABD. The right angles are at vertex C and vertex B, respectively.
Answer:
The one showing only the point (10, 3)
Or the linear plot with the point +10 highlighted.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Multiplying 49 by 1/7 in the inverse operation of dividing it by 7, so they will both get the correct answer.
In a geometric progression:
a, b, c, d...
The common ratio can be obtained using:
b/a = c/b = d/c
b/a = 112 / 64 = 1.75
c/b = 196 / 112 = 1.75
d/c = 343 / 196 = 1.75
The common ratio = 1.75
