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Firdavs [7]
3 years ago
13

A triangle has sides with lengths of 65 in 72 in and 97 in is it a right triangle?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

By pythagoras' theorem,

97^2 = 9409

65^2 + 72^2 = 9409

since 65^2 + 72^2 = 97^2, the triangle is a right angled triangle

This is a question on Pythagoras theorem. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

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Can I please have help with question 2) a and b
Ulleksa [173]

Answer:

\frac{10\sqrt{6} }{3} and \frac{11\sqrt{3} }{3}

Step-by-step explanation:

(a)

A = \frac{1}{2} × 4\sqrt{2} × \frac{5}{\sqrt{3} }

   = 2\sqrt{2} × \frac{5}{\sqrt{3} }

   = \frac{10\sqrt{2} }{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

= \frac{10\sqrt{6} }{3} units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4\sqrt{2} )² + (\frac{5}{\sqrt{3} } )²

    = 32 + \frac{25}{3}

    = \frac{96}{3} + \frac{25}{3}

    = \frac{121}{3} ( take the square root of both sides )

h = \sqrt{\frac{121}{3} } = \frac{11}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } ← rationalise the denominator

h = \frac{11\sqrt{3} }{3}

 

7 0
3 years ago
What is the P(T,H,T,H) on 4 flips of a coin?<br><br> i need help
Katen [24]

Answer:

1/16

Step-by-step explanation:

Each coin flip is an independent event so the probabilities are independent

P(T,H,T,H) = P(T) P(H)  P(T) P(H)

                  = 1/2 * 1/2 * 1/2 * 1/2

                   = 1/16

5 0
3 years ago
Becky swims 3/4 of a mile each day. How many miles does she swim in 5 days?
pav-90 [236]

The answer is C. 3 3/4 is the answer.

5 0
3 years ago
Using any five itegers from 1 to 10 what is the greatest possible mean of the 5 numberes if the median is 4?
BartSMP [9]
That would  a set of 5 numbers in ascending order with  4 being the middle one and the other 4 being the highest possible So it is

2, 3, 4, 9, 10

Mean is 28/5  = 5.6 answer

( I am assuming that each number is different)

Of duplicates is allowed then its 4 4 4 10 10  whose mean is 6.4
5 0
3 years ago
Can you simplify 8/15+1/6
belka [17]

Answer:

Yes and the answer is 16/5

Step-by-step explanation:

Find the reciprocal of the divisor

Reciprocal of 1/6 : 6/1

Now, multiply it with the dividend

8/15 ÷ 1/6 = 8/15 × 6/1

And after that you get 48/15 but after reducing the fraction, the answer is 16/5. ( In mixed form, 3 1/5 )

I hope this helps and I am a middle school student answering this question.

5 0
2 years ago
Read 2 more answers
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