The shorter leg of a 30°-60°-90° triangle is 6. What is the length of the other leg?
2 answers:
Answer:
units.
Step-by-step explanation:
It is given that shorter leg of a 30°-60°-90° triangle is 6.
In a triangle larger interior angle has larger opposite side and vice versa.
The length of shortest leg is 6 units it means it is opposite to the angle 30°.
Let the length of second leg be x.
In a right angle triangle,
On cross multiplication, we get
Hence, the length of the other leg is units.
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Let's begin noting that a triangle is isosceles if and only if two of its angles are congruent. We can thus find the angle <ABP, recalling that the sum of the interior angles of a triangle is equal to 180°.
Finally, let point K be the intersection between segments BC and PQ, and let's note that the triangle PQB is a right isosceles triangle, since all the angles in a square are equal to 90°, and the two triangles APB and BQC are congruent.
Therefore, the angle BKQ is equal to 180-50-45=85°.
Of course angle BKP=180-85=95°.
Hope this helps :)