MATH SOLVE

2 months ago

Q:
# 7,24,25. 7 , 23,24 7, 25,26 Which of the following will form a right triangle

Accepted Solution

A:

we know that

In a right triangle

c²=a²+b²

where

a and b are the legs of triangle

c is the hypotenuse of the triangle

so

case 1)7,24,25

25²=7²+24²

25²-----> 625

7²+24²----> 625

625 is equal to 625----------> form a right triangle

case 2) 7,23,24

24²=7²+23²

24²------> 576

7²+23²-----> 578

576 is not 578-------------> not form a right triangle

case 3) 7,25,26

26²=7²+25²

26²-----> 676

7²+25²-----> 674

676 is not 674-----> not form a right triangle

the answer is

7,24,25 form a right triangle

In a right triangle

c²=a²+b²

where

a and b are the legs of triangle

c is the hypotenuse of the triangle

so

case 1)7,24,25

25²=7²+24²

25²-----> 625

7²+24²----> 625

625 is equal to 625----------> form a right triangle

case 2) 7,23,24

24²=7²+23²

24²------> 576

7²+23²-----> 578

576 is not 578-------------> not form a right triangle

case 3) 7,25,26

26²=7²+25²

26²-----> 676

7²+25²-----> 674

676 is not 674-----> not form a right triangle

the answer is

7,24,25 form a right triangle