Answer:
5 units
Step-by-step explanation:
The hypotenuse is always the longest segment on a triangle. If the lengths of the sides of this triangle are 3 units, 4 units, and 5 units, the hypotenuse will be 5 units. You can use the pythagorean theorem to check.
a^2+b^2=c^2
If you substitute the variable with the lengths of the legs in ascending order, you will get 3^2+4^2=5^2. Simplifying the equation, you will get 9+16=25, or 25=25. Thus, proving the equation.
Hope this helped! :)
Answer:
CD ≈ 26.0 cm
Step-by-step explanation:
using the sine ratio in right triangle ABD
sin35° = 
= 
= 
( multiply both sides by BD )
BD × sin35° = 12 ( divide both sides by sin35° )
BD = 
≈ 20.92 cm
using the sine rule in Δ BCD
= 
, that is
= 
( cross- multiply )
CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )
CD = 
≈ 26.0 cm ( to 3 significant figures )
