Angle x is the largest angle in triangle XYZ. Angle y is the smallest angle. How does the sum of the measures of angles y and z
1 answer:
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Answer:
The first option is correct
Step-by-step explanation:
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Answer:
Option D. 8 units
Step-by-step explanation:
The given question is incomplete: here is the complete question.
Triangle FGH is an isosceles right triangle with a hypotenuse that measures 16 units. An altitude, GJ, is drawn from the right angle to the hypotenuse.
What is the length of GJ?
A. 2 units
B. 4 units
C. 6 units
D. 8 units
ΔFGH in the figure attached, is a right isosceles triangle.
m∠G = 90° and hypotenuse FH = 16 units
GI is an altitude drawn from point G to the hypotenuse.
Since this triangle is an isosceles right triangle, measure of ∠F and ∠H will be equal.
m∠F + m∠G + m∠H = 180°
m∠F + 90° + m∠F = 180°
2m∠F = 180°- 90°
2m∠F = 90°
m∠F = 45°
GJ is an altitude which will divide the hypotenuse in two equal parts. (By the property of a right isosceles triangle)
FJ ≅ GJ ≅ 8 units
Now in right triangle GJH,
tan H =
tan 45° =
1 =
GJ = 8 units
Therefore, length of altitude GJ will be 8 units.
