Question

A right angle has a league of 13 cm in the hypotenuse of 21 cm what is the length of the other leg

Answer 1

For a Right Angled Triangle, according to the Pythagoras Theorem, the square of hypotenuse is equal to the sum of squares of its two legs.

One leg is 13cm long, hypotenuse is 21cm long. Let the other leg be x cm. So, we can write:


`21^(2) =13^(2) + x^(2) \\ \\ 272= x^(2) \\ \\ x= √(272) \\ \\ x=16.49`

Rounding of to nearest hundredth, the length of other leg of the Triangle is 16.49

Answer 2

You can use c^2 = a^2 + b^2 to solve for the length of the other leg. Just substitute the values to the variable then transpose to get the value of the missing variable.

Given: a = 13; c = 21
Required: b - other leg
Solution:
c^2 = a^2 + b^2
21^2 = 13^2 + b^2
441 = 169 + b^2
b^2 = 272
√b = 16.49
b = 16.49 cm