Answer:
pythagoras theorem
c^2=a^2+b^2
so rearrange
to find the height
we already have the hypotenuse
9^2 - 7^2= height^2=130
to find height √height^2 = 11.40175425099138
Answer: option D is the correct answer.
Step-by-step explanation:
The given triangle is an isosceles triangle which is divided onto two right angle triangles.
The length of the hypotenuse of each right angle triangle is 9
The length of the adjacent of each right angle triangle is 7
h represents the opposite side of each of the right angle triangles.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
9² = h² + 7²
81 = h² + 49
h² = 81 - 49 = 32
h = √32
h = 5.7 units
