*The side with the middle length is 12cm, therefore BC must be 12 cm
------------------------------------------------------------<span> Ratio ------------------------</span>---------------------------------<span>-- BC:AC:AB 4 : 3 : 5
</span>----------------------------------------------------------- <span>Find 1 share </span>-----------------------------------------------------------<span> Given that BC = 12 cm 4 shares = 12 cm 1 share = 12 ÷ 4 = 3cm
</span>----------------------------------------------------------- Find AC (4 shares) -----------------------------------------------------------<span> 3 shares = 3 x 3 = 9 cm BC = 9cm
</span>----------------------------------------------------------- <span>Find AB (5 shares) </span>-----------------------------------------------------------<span> 5 shares = 5 x 3 = 15cm AB = 15cm
</span>------------------------------------------------------------ Length ----------------------------------------------------------- BC : AC : AB 12cm : 9cm : 15cm<span>
</span>------------------------------------------------------------------ <span>Answer: The perimeter is 36cm </span>------------------------------------------------------------------<span>
</span>------------------------------------------------------------------ <span>Area </span>------------------------------------------------------------------ 1/2 x 9 x 12 = 54cm²<span>
</span>------------------------------------------------------------------ Answer: Area = 54cm² ------------------------------------------------------------------<span>
Given that the biggest ratio is AB </span>⇒AB is the hypotenuse AB = 15 cm
------------------------------------------------------------------ Answer: Hypotenuse = AB = 15cm ------------------------------------------------------------------