Point R is the midpoint of FE¯¯¯¯¯ , so the coordinates of point R are (3a, b).
In △DEF , the length of the base, DF¯¯¯¯¯ , is
4a, and the height is 2b, so its area is
1/2×4a×2b = 4ab.
In △QRP , the length of the base, QR¯¯¯¯¯ , is
3a-a = 2a, and the height is b, so its area is 1/2×2a×b = ab .
Comparing the expressions for the areas proves that the area of the triangle created by joining the midpoints of an isosceles triangle is one-fourth the area of the larger isosceles triangle.
Answer:
180 inches ^2
Step-by-step explanation:
12 x 15 = 180
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Answer: 16/13
Step-by-step explanation:
Facts:
Total: 26 restaurants
Pizza parlors: 13
9/13 do not sell alcohol
7/13 do not sell alcohol
Total probability (not serving alcohol): 16/13
Answer:
Below.
Step-by-step explanation:
If its a right triangle it will obey the Pythagoras theorem.
17^2 = 289
11^2 + 15^2 = 121 + 225 = 346
- so NOT a right triangle.
