A triangle has a leg with a length of 3 and a hypotenuse with a length of 6.What is the length of the other leg?
1 answer:
Answer:
3
Step-by-step explanation:
Using Pythagoras' identity on the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the length of the other leg, then
x² + 3² = 6², that is
x² + 9 = 36 ( subtract 9 from both sides )
x² = 27 ( take the square root of both sides )
x = =
=
×
= 3
← exact value
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Answer:
∠WVX = 35°
Step-by-step explanation:
Look at the rough draw.
As you can see,
VW ║ YZ
So ∠XWV is congruent to ∠XYZ through alternate interior angle.
We can solve ∠WVX by considering the two other angles, 88° and 57°.
Total angle of a triangle is 180°.
So,
? + 88 + 57 = 180
? + 145 = 180
? = 180 - 145
? = 35°
