9514 1404 393
Explanation:
The figure will be a rectangle only if the angles between adjacent congruent sides are 90°.
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Attached is an example of a quadrilateral with 3 congruent sides. It is not a rectangle, but could be an isosceles trapezoid if the top and bottom sides were parallel. It would be a parallelogram (rhombus) if opposite congruent sides were parallel.
The sample space of the problem is 300 while the U' is equal to 100 as given. The given diagram also shows A and B separately so we can determine the part where the two coincides. The equation goes
120 + 50 + x + 100 = 300x = 30
Hence the probability is 30/ 300 or 10%
Answer:
9E+25
Step-by-step explanation:
Why?
We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:
In general, the formula for calculating the hypotenuse in an isosceles right triangle is 
a - a leg, h - a hypotenuse
Answer:
Option D.
Step-by-step explanation:
- First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
- Next, we know that the formula for calculating the area of a right angled triangle is given by:
A = 1/2 (base × perpendicular height)
- The perpendicular height is equal to the base. Let's say the base is <em>x</em>. It means that the height is also x, since height = base.
- Therefore, the formula will be:
A = 1/2 (x.x)
=1/2 (x²)
32 = 1/2 (x²)
Multiplying both sides by 2 gives:
32×2 = x²
64 = x²
8 = x
To find the third side, we use the Pythagoras theorem:
C² = A² + B²
= 8² + 8²
= 128
C = √128
= 8√2
However, the answer will not be exact, so we multiply the length of the base and height by 2. This gives x = 16 (Length of base = length of height)
Repeating the steps above gives C = √ (16)² + (16)²
= √256
This corresponds to option D.
