Question

A, B & C form a triangle where Z BAC = 90°.
AB = 4.2 mm and CA = 1.5 mm.
Find the length of BC, giving your answer rounded to 1
DP.
mm
BC =

Answer 1

Answer:

Step-by-step explanation:

Nothing further can be done with this topic. Please check the expression entered or try another topic.

A, B, C, ZBAC=90°

AB=4.2mm

CA=1.5mm,

DP

mm

BC

hope this helps

Answer 2

Answer:

BC = 4.5 (1 dp)

Step-by-step explanation:

Pythagoras’ Theorem

$a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

• a = AC = 1.5
• b = AB = 4.2
• c = BC

Substituting these into the formula and solving for BC:

$\implies 1.5^2+4.2^2=BC^2$

$\implies 2.25+17.64=BC^2$

$\implies BC^2=19.89$

$\implies BC=\pm\sqrt{19.89}$

As distance is positive,

⇒ BC = 4.5 (1 dp)