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<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.
The radius of can is 2.524 inches
<em><u>Solution:</u></em>
Given that large can of tuna fish that has a volume of 66 cubic inches and a height of 3.3 inches
To find: Radius
Given a large can of tuna fish, we know that can is generally of cylinder shape, we can use the volume of cylinder formula,
<em><u>The volume of cylinder is given as:</u></em>
Where,
"r" is the radius of cylinder
"h" is the height of cylinder
is a constant equal to 3.14
Substituting the given values in above formula,
Thus the radius of can is 2.524 inches