ABC is a right-angled triangle in which angle A is a right angle. Which side needs to be bisected to construct two other right-angled triangles?
BC
In triangle ABC the right angle is at A, so BC is the hypotenuse and AB, CA are the two legs.
Draw the perpendicular from A to the hypotenuse BC, meeting it at D. This line divides BC into the two parts BD and DC.
Angle ADB = angle ADC = 90°, so triangles ABD and ACD are both right-angled (each is also similar to triangle ABC).
So the side that has to be divided to form two smaller right-angled triangles is the hypotenuse BC.
Hence, BC is correct.
Similar Questions
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Important Questions from Triangles
In a Δ ABC, if ∠A = 120° and AB = AC, then the values of ∠B and ∠C are respectively:
The product of the perimeter of a triangle, the radius of its in‐circle, and a number gives the area of the triangle. The number is
In ∆ABC, 2∠A = 3∠B = 6∠C. What is the value of the largest angle among these three angles?
The longest side in a right-angled triangle is called :
The sum of two sides of a triangle with the third side is
