3 years ago

In PQRS, PR and QS intersect at T. What additional information is needed to conclude that PQRS is a rectangle

Mathematics

1 answer:

lora16 [44]3 years ago

5 0

If it's congruent and similar

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alina1380 [7]

Answer:

Step-by-step explanation:

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= 180-144

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faust18 [17]

Answer-

The height of the prism is 6 units

Solution-

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

$V_{Prism}=Area_{Base}\times Height$

And,

$Area_{Base}=2\times \text{Area of the trapezoid}$

Also,

$\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})$

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$V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height$

As the volume is given, so

$\Rightarrow 39\times Height=234$

$\Rightarrow Height=\dfrac{234}{39}=6$

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