The length of the third side is 20 cm
We don't know whether the 15cm happens to be the hypotenuse (longest side) of the right triangle. It makes a big difference. -- If the 15cm is the longest side, then the third side is 7.483 cm. (rounded) -- If the 13cm and the 15cm are the "legs", then the hypotenuse is 19.849 cm. (rounded)
Using Pythagoras' theorem: 15 times the square root of 2 cm in length
12 cm
Use Pythagoras' Theorem : In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let H be the hypotenuse then :- H2 = 152 + 82 = 225 + 64 = 289 Then H = √289 = 17cm
The length of the third side is 20 cm
60 cm2
We don't know whether the 15cm happens to be the hypotenuse (longest side) of the right triangle. It makes a big difference. -- If the 15cm is the longest side, then the third side is 7.483 cm. (rounded) -- If the 13cm and the 15cm are the "legs", then the hypotenuse is 19.849 cm. (rounded)
Using Pythagoras' theorem: 15 times the square root of 2 cm in length
Isosceles
To determine if the given measurements form a right triangle, we can use the Pythagorean theorem. In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. So, in this case, we would check if (7^2 + 11^2 = 15^2) holds true. Calculating this, we get (49 + 121 = 225), which simplifies to (170 \neq 225). Therefore, the given measurements do not form a right triangle.
12 cm
Use Pythagoras' Theorem : In a right angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides. Let H be the hypotenuse then :- H2 = 152 + 82 = 225 + 64 = 289 Then H = √289 = 17cm
If it's a right angle triangle then by using Pythagoras' theorem the third side is 17 cm
75
Yes
Area = 1/2*9*12 = 54 square cm