Answer: B. x=10
Step-by-step explanation:
Concept
- If it is an isosceles triangle, then the altitude would also be the median of the base, meaning that it divides the base evenly.
- We are going to use the Pythagorean theorem which is a²+b²=c², where [a] and [b] are legs, and [c] is the hypotenuse.
Given
Hypotenuse (relative) = √74
Altitude (one leg) = 7
The other leg (half of the base) = x/2
Solve
a² + b² = c²
(7)² + (x/2)² = (√74)²
49 + x²/4 = 74
x²/4 = 25
x² = 100
x = 10
Hope this helps!! :)
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