Answer:
Therefore the required value of x,

Step-by-step explanation:
Given:
ΔBC is a Right Angle Triangle at ∠ B = 90°
As ∠ B = 90° , AC will be the Hypotenuse
AC = 10 = Hypotenuse
BC = y = Longer leg ( say )
AB = x = Shorter leg ( say )
To Find :
x = ?
Solution:
In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

Substituting the given values we get

Therefore the required value of x,

Answer:
4.8 km is the answer.
Step-by-step explanation:
a = ?
b = 5 km
c = 7 km
According to the Pythagorean theorem,
a² + b² = c²
a² + 5² = 7²
a² + 25 = 49
a² = 49 - 25
a² = 24
a = 4.8989
Round to the nearest tenth,
a = 4.8 km
Answer:
x=25
Step-by-step explanation:
The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are
(x + 3), (x + 5), and (x + 7).
Their sum is x+3 + x+5 + x+7 = 3x + 15
But we're told that their sum is 42, so we can write
3x + 15 = 42 <== the equation
Subtract 15 from each side: 3x = 27
Divide each side by 3 : x = 9 <== the solution
So the three ages are 12, 14, and 16.
The oldest child is 16 years old.