In the given figure e, angle ABC=90 ° , AC = 13 cm , CD = 11 cm, AD = 20 cm. find BC and AB.
please help me _/\_
Attachments:
Answers
Answered by
2
Answer:
in triangle ABC,
BC=x
AC²=AB²+x²
13²=AB²+x²
169=AB²+x²
AB²=169-x².......equation 1
in triangle ABD,
BD=x+11
AB²+BD²=AD²
AB²+(x+11)²=20²
AB²+x²+121+22x=400
AB²=400-121-x²-22x
AB²=279-x²-22x......equation 2
from equation 1 and equation 2
169-x²=279-x²-22x
22x=279-169
22x=110
x=110/22=5
therefore, BC=5cm BD=16cm
AB=12cm
hope it helps you and don't forget to follow me
Similar questions