Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
Step-by-step explanation:
Two legs of the right triangle are 6 and 9. We can find its third side as follows :

The above is called Pythagoras theorem and it is applicable for a right angled triangle.
a,b and c are base, perpendicular and hypotenuse respectively
c is the third side
So,

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82
C
Because 1 km is 1,000 meters so you were just multiply 1000 by 10 and get 10,000
c: