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Answer :
2) The length of the hypotenuse is, 20 cm.
3) The length of the unknown side is, 17.5.
5) The length of the hypotenuse is, 27.8 mm.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We know that;
By Pythagoras theorem,
⇒ Hypotenuse² = Perpendicular² + Base²
Here, In question 2;
The legs of a right triangle are 12 cm and 16 cm.
Hence, The length of the hypotenuse is,
By Pythagoras theorem,
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ Hypotenuse² = 12² + 16²
⇒ Hypotenuse² = 144 + 256
⇒ Hypotenuse² = 400
⇒ Hypotenuse = √ 400
⇒ Hypotenuse = 20 cm
By question 3;
Image of a right triangle with a leg of 4, hypotenuse of 18.
Hance, The length of the unknown side is,
By Pythagoras theorem,
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ 18² = 4² + x²
⇒ 324 = 16 + x²
⇒ 324 - 16 = x²
⇒ x = √308
⇒ x = 17.5
In question 5;
The length of the hypotenuse is,
By Pythagoras theorem,
⇒ Hypotenuse² = Perpendicular² + Base²
⇒ Hypotenuse² = 26² + 10²
⇒ Hypotenuse² = 676 + 100
⇒ Hypotenuse² = 776
⇒ Hypotenuse = √ 776
⇒ Hypotenuse = 27.8 mm
Learn more about the Pythagoras theorem visit:
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