in a right angle triangle one side is 126 m and difference hypotenuse and other side is 42 m find the length of both side and area of the triangle
Answers
Answer:
S1= 126m
hypotenuse= S2 = 42cm= 0.42m
let the S2 be X
hypotenuse= X = 0.42m
Solution:-
given:-
1) in a right angle triangle one side
is 126 m.
2) difference hypotenuse and other
side is 42 m.
find ;- the length of both side and area of the triangle.
(1st side) = 126m
hypotenuse - ( 2cd side) = 42cm = 0.42m
Let the 2cd side be x.
=> hypotenuse - x = 0.42
=> hypotenuse = 0.42 + x
By Pythagoras theorem.
=> 17.64 + 0.84x = 126
=> 0.84x = 126 - 17.64
=> 0.84x = 108.36
=> x = 108.36/0.84
=> x = 129
so
=> ( 2cd side) = 129m
=> hypotenuse = x + 0.42
=> hypotenuse = 129 + 0.42
=> hypotenuse = 129.42m
=> Area of right angled triangle
=1/2 × product of perpendicular sides
=1/2 × 126 × 129
= 63 × 129
= 8127 metre sq.
Therefore,
The area of right angled triangle is 8127sq.m with 129 and 126 are length & breadth respectively.
i hope it helps you..