If the altitude of an isosceles right triangle has a length of x units, what is the length of one leg of the large right triangl
e in terms of x?
x units
x units
x units
2x units
x units
x units
x units
2x units
2 answers:
Answer:
x units
Step-by-step explanation:
SInce it is a right triangle, one of its angles measures 90 °.
And it is also an isoceles triangle, so the other two angles must measure the same, I will call this measure a.
The sum of the internal angles of a triangle is 180 °, so:
90° + 2a = 180
2a = 90°
a = 45°
One of the sides of the right angle measures x because it is the height, and this measure is opposite to an angle of 45°.
And because the other side of the right angle is also opposite to an angle of 45°, it must also measure x.
See the attached image:
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