Answer:
BC = 4.5 (1 dp)
Step-by-step explanation:
Pythagoras’ Theorem
[tex]a^2+b^2=c^2[/tex]
(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:
[tex]\implies 1.5^2+4.2^2=BC^2[/tex]
[tex]\implies 2.25+17.64=BC^2[/tex]
[tex]\implies BC^2=19.89[/tex]
[tex]\implies BC=\pm\sqrt{19.89}[/tex]
As distance is positive,
⇒ BC = 4.5 (1 dp)
