Question

2 legs of a triangle are 13 and 10. What is the third legs value?

The options are
26
0
22
4

Answer 1

To find the value of the third leg of the triangle, we can use the Pythagorean Theorem. According to the theorem, in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let's assume the third leg of the triangle is represented by 'x'. Applying the Pythagorean Theorem to the triangle, we get:

x^2 = 13^2 + 10^2
x^2 = 169 + 100
x^2 = 269

Taking the square root of both sides, we find:
x = √269

Among the given options, the closest value to the square root of 269 is 16.40, and this is not listed. Therefore, the third leg's value is not among the options provided.