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1 answer:
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Answer:
C
Step-by-step explanation:
First check if the triangle is right.
If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.
longest side = and (
)² = 12
2² + ( )² = 4 + 8 = 12
Thus the triangle is right → C
Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM =
=
=
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.