Find the value of x in the given figure (with all steps)
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Answered by
1
Answer:
x = 9cm
Step-by-step explanation:
In triangle ABD,
H^2 = P^2 + B^2
hence, AB^2 = AD^2 + BD^2
13^2 = AD^2 + 5^2
AD^2 = 13^2 - 5^2
AD^2 = 169 - 25
AD = ✓144
AD = 12cm
In triangle ADC
H^2 = P^2 +B^2
hence, AC^2 = AD^2 + DC^2
15^2 = 12^2 + x^2
x^2 = 225 - 144
x = ✓81
x = 9cm
Answered by
3
Answer:
As we see ABD is right angle triangle
So by Pythagoras theorem
H²= P² + B²
AB² = AD² + BD²
(13)² = AD²+ (5)²
169= AD²+ 25
AD² = 169–25
AD² = 144
AD = 12
Triangle ADC is also right angle triangle
By using Pythagoras theorem
H²= P² + B²
AC² = AD² + DC²
(15)² = (12)² + DC²
225 = 144+DC²
DC²= 225–144
DC²= 81
DC = 9
Therefore x = DC = 9 cm
Hope it helps you :)
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