Question

Find the missing length of the triangle.
a= in

Answer 1

a = 9 in

Explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

a² + 5.6² = 10.6²

a² + 31.36 = 112.36 ( subtract 31.36 from both sides )

a² = 81 ( take square root of both sides )

a =
`√(81)` = 9

Answer 2

a = 9 in

Explanation:

In the right angled triangle,

Let hypotenuse (h) = 10.6 in

perpendicular (p) = 5.6 in

and base (b) = a

Therefore, by Pythagoras Theorum,

H^2 = a^2 + P^2

10.6^2 = a^2 + 5.6^2

112.36 = a^2 + 31.36

a^2 = 112.36 - 31.36

a^2 = 81.00

a = √81

a = 9 in

Hope it helps you!!