Question

A, B & C form a triangle where ∠BAC = 90°. AB = 13 mm and CA = 9.7 mm. Find the length of BC, giving your answer rounded to 1 DP.

Answer 1

Answer:

16.2mm

Step-by-step explanation:

By pythagoras theorem:-

$BC^{2}$ = $AB^{2} + CA^{2}$

$BC^{2}$ = $13^{2} + 9.7^{2}$

$BC^{2}$ = 169 + 94.09

$BC^{2}$ = 263.09

BC = $\sqrt{263.09}$

BC = 16.2mm

Answer 2

Answer- 16.2mm

Step-by-step explanation:

as per Pythagoras theorem

$ab ^{2} + ca ^{2} = bc ^{2}$

so,

${13}^{2} + {9.7}^{2} = {bc}^{2}$

$169 + 94.1 = {bc}^{2}$

therefore,

$263 .1= {bc}^{2}$

so,

$bc = 16.2mm$