Answer:
60 square units.
Step-by-step explanation:
First, work out what the length of of the other leg is
[tex]120 \times 2 = 240 \: 240 \div \: 24 = 10[/tex]
Next, to work out the hypotenuse you add the squares of the legs.
[tex] {24}^{2} + 10 ^{2} = 676[/tex]
Then square root the answer from the previous calculation.
[tex] \sqrt{676} = 26[/tex]
And finally add the sides together.
26+24+10= 60 square units
The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. Then the perimeter of the triangle is 60 units.
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
A right triangle has an area of 120 square units and a leg length of 24 units.
Then the other length of the triangle will be
Area = 1/2 (b x h)
120 = 1/2 (24 h)
240 = 24h
h = 10
Then the third length of the triangle will be given by the Pythagoras theorem.
H² = b² + h²
H² = 24² + 10²
H² = 576 + 100
H² = 676
H = 26
Then the perimeter of the right-angle triangle will be
Perimeter = 10 + 24 + 26
Perimeter = 60 units
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
