In a right angled triangle, if sum of the squares of the sides making right angle is 144 then what is the length of the hypotenuse (1 mark) 1 point
Answers
Answer :-
The length of the hypotenuse of the right angled triangle is 12 units respectively.
Explanation :-
Given :
- Sum of the squares making right angle triangle is 144 units.
To find :
- The length of the hypotenuse.
Solution :
In the a right angled triangle, the base and the perpendicular of the triangle make up a right angle.
.°. B² + P² = 144 units.
We know that,
Pythagorean theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of it's base & perpendicular.
.°. H² = B² + P²
or, H² = 144 units.
[Since, it's given that B² + P² = 144 units.]
or, H = √144 units.
.°. H = 12 units.
Hence, the hypotenuse is 12 units.
Answer:
Answer :-
The length of the hypotenuse of the right angled triangle is 12 units respectively.
Explanation :-
Given :
Sum of the squares making right angle triangle is 144 units.
To find :
The length of the hypotenuse.
Solution :
In the a right angled triangle, the base and the perpendicular of the triangle make up a right angle.
.°. B² + P² = 144 units.
We know that,
Pythagorean theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of it's base & perpendicular.
.°. H² = B² + P²
or, H² = 144 units.
[Since, it's given that B² + P² = 144 units.]
or, H = √144 units.
.°. H = 12 units.
Hence, the hypotenuse is 12 units.