In the given right triangle, find the missing length.
The triangle has 24m on the right and on the left is c and at the bottom is 10m.
a. 28m
b. 26m
c. 25m
d. 27m
To find the missing length in a right triangle, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse (c) is missing. The other two sides are given as 24m and 10m. Let's use the Pythagorean theorem to find the missing length:
c^2 = a^2 + b^2
Here, a and b represent the known sides, and c represents the missing side (hypotenuse).
Plugging in the known values, we have:
c^2 = 24^2 + 10^2
Simplifying, we get:
c^2 = 576 + 100
c^2 = 676
To find the value of c, we can take the square root of both sides:
c = √676
c = 26
Therefore, the missing length (c) is 26m.
So, the answer is b. 26m.
x^2 + 10^2 = 24^2
x^2 = 476
x = √476 or 2√119