Answer:
1. The square root of 100
2.c=27.11
d=13.96
e=12.6
Step by step explanation:
1. 2×50=100 the geometric mean is the square root of 100
2. The diagram is made up of three right angled triangles the big outer one and two triangles inside the big one thus we can use the pythagorean theorem to come up with expressions which will help us in solving the unknown parts as below.
c²=30²-d²
c²=e²+24²
d²=e²+6²
both the following add up to c² meaning they are equal:
c²=30²-d²
c²=e²+24²
thus
30²-d²=e²+24²
I want to remain with d² only thus;
30²-24²-e²=d²
900-576=324 (squareroot of 324=18) so
d²=18²-e² and d²=e²+6²
both the above add up to d² meaning they are equal thus;
18²-e²=e²+6²
18²-6²=e²+e²
324-36=2e²
318=2e²
159=e²
e=12.61
Thus d²=e²+6²
d²=12.61²+6²
d²=159+36
d²=195
d=13.96
c²=e²+24²
c²=12.61²+24²
c²=159+576
c²=735
c=27.11
I hope this helps
