Given: Triangle ABC : triangle ADB. AB =24, AD =16 Find: AC
1 answer:
Answer:
<h2>AC = 36.01</h2>Step-by-step explanation:
Given ΔABC and ΔADB, since both triangles are right angled triangles then the following are true.
From ΔADB, AB² = AD²+BD²
Given AB = 24 and AD = 16
BD² = AB² - AD²
BD² = 24²-16²
BD² = 576-256
BD² = 320
BD =
BD = 17.9
from ΔABC, AC² = AB²+BC²
SInce AC = AD+DC and BC² = BD² + DC² (from ΔBDC )we will have;
(AD+DC)² = AB²+ (BD² + DC²)
Given AD = 16, AB = 24 and BD = 17.9, on substituting
(16+DC)² = 24²+17.9²+ DC²
256+32DC+DC² = 24²+17.9²+ DC²
256+32DC = 24²+17.9²
32DC = 24²+17.9² - 256
32DC = 640.41
DC =
DC = 20.01
Remember that AC = AD+DC
AC = 16+20.01
AC = 36.01
You might be interested in
The density of the marble will be "0.18 kg/m³".
According to the question,
Volume of marbles,
- V = 25 cm³
By converting it into m, we get
- 0.25 m³
Mass,
- M = 45 g
By converting it into kg, we get
- 0.045 kg
As we know, the formula:
→
By substituting the values, we get
→
→
Thus the answer above is correct.
Learn more about density here:
Answer:
Jim pays 200 more dollars per month than Mike.
Step-by-step explanation:
Jim--> $1600/month
Mike--> 7/8(Jim's rent)
7/8(Jim's rent)
7/8(1600)
= $1400
1600-1400= 200
Jim pays 200 more dollars per month than Mike.
I hope that makes sense!
Hope u understand.
Mark as brainliest
