Question

Construct APOR right angled at R, hypotenuse is 6cm and one of its adjacent side
is 5cm​

Answer 1

Step-by-step explanation:

By using PYTHAGORAS THEOREM

(PQ)^2 = (PR)^2 + (RQ)^2

(5)^2 = (PR)^2 + (4)^2

25 - 16 = (PR)^2

(PR)^2 = 9

PR = 3 cm

Now follow the steps of construction:

Draw RQ = 4 cm.

Construct a right angle from point R.

Draw an arc of 3 cm from point R on right angled line.

We get point P.

Join PQ.

We get required triangle PRQ, right angled at R.

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Answer 2

Answer:

In mathematics, the Pythagorean theorem, also known as Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the "Pythagorean equation".

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