Question

2.1 8cm B. a 10cm D b 2.1.1 Calculate the length of a. 2.1.2 Calculate the length of b. 9cm C

need working out ​

Answer 1

a = 6 , b = 17

Explanation:

using Pythagoras' identity.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

using right triangle ABD , then

a² + 8² = 10²

a² + 64 = 100 ( subtract 64 from both sides )

a² = 36 ( take square root of both sides )

a =
`√(36)` = 6

using right triangle ABC

note that BC = a + 9 = 6 + 9 = 15

b² = 8² + 15² = 64 + 225 = 289 ( take square root of both sides )

b =
`√(289)` = 17