Bobbi skated 3\8 mile in the morning and then skated 1 3\8 miles in the afternoon.
1 answer:
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Answer:
<em>The correct option is: 11.5</em>
Step-by-step explanation:
Suppose, the length of the unknown side is
So, here the length of hypotenuse is 14 and the lengths of other two sides are 8 and .
As the given triangle is right angle triangle, so <u>using Pythagorean theorem</u>, we will get.........
<em>(Rounded to the nearest tenth)</em>
So, the length of the unknown side is 11.5
<span>In triangle WXZ,
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.
Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)
Now, in any triangle, the sum of all the three angles is 180.
In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°
Similarly, in WZY.
Hence, we conclude that XWZ is a right angle.