Ten times the sum of two and five tenths and thirteen and 5 tenths.
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
Answer:
x is equal to 24 and y is equal to 66.
Step-by-step explanation:
In order to find the value of y, we first have to note that the unlabeled angle in the larger triangle, y and the 78 degree angle create a straight line. The unlabeled angle is equal to 36 since it and the other two angles equal 180. So we take that 36, 78 and y and can set that equal to 180.
36 + 78 + y = 180
114 + y = 180
y = 66
Now that we have that value, we can use y and the 90 degree angle to find x.
x + y + 90 = 180
x + 66 + 90 = 180
x + 156 = 180
x = 24