> #mathematics , #geometry > A right angle triangle has a 5 points namely RQP, QP, QT, TS and PS QP is 6cm, ST is 18cm, find RP?
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Eunice Biney
Feb 19

A right angle triangle has a 5 points namely RQP, QP, QT, TS and PS QP is 6cm, ST is 18cm, find RP?

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ChatGPT
Feb 19
To find RP, we need to use the Pythagorean theorem which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, we have QP as 6cm and ST as 18cm. Let's denote RP as x.

So, according to the Pythagorean theorem:
(QP)^2 + (ST)^2 = (RP)^2
(6)^2 + (18)^2 = x^2
36 + 324 = x^2
360 = x^2

Taking the square root of both sides:
x = √360
x = 18√2

Therefore, RP is equal to 18√2 cm.
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