Construction of Right Angled Triangle – Steps Construction of a right-angled triangle is possible when the Hypotenuse and one side from the remaining two sides are known to us. A is a triangle which has one of its three angles equal to 90 degrees. The other two angles are acute angles.

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### What are the requirements for the construction of the triangle?

Constructions of Right-angled Triangle – Let us construct a right-angled triangle ABC, right-angled at C. Consider the length of the hypotenuse AB = 5 cm and side CA = 3 cm. The steps for construction are:

Step 1: Draw a horizontal line of any length and mark a point C on it.

Step 2: Set the compass width to 3 cm. Step 3: Place the pointer head of the compass on point C and mark an arc on both sides of C.

Step 4: Mark the points as P and A where the arcs cross the line. Step 5: Set the compass width to the length of the hypotenuse, that is, 5 cm. Step 6: Place the pointer head of the compass on point P and mark an arc above C.

Step 7: Repeat step 6 from point A.

Step 8: Mark the point as B where the two arcs cross each other. Step 9: Join the points B and A as well as B and C with the ruler.

Thus, you obtain a right-angled triangle ACB of the required measurements.

## What is the RHS rule for right triangles?

FAQs – Q.1. What is the RHS rule in a triangle? Ans: RHS congruence rule states that if the hypotenuse and a side of one right-angled triangle are equal to the hypotenuse and a side of the other right-angled triangle, then those two right triangles are congruent to each other.Q.2.

Which of the following conditions must be given for constructing a triangle by RHS criterion? Ans: The conditions given for constructing the triangle by RHS criterion are1. Hypotenuse 2. Any one side of the triangle Q.3. Which congruency rule is used to construct the right-angled triangle? Ans: The R.H.S congruency rule is used to construct the right-angled triangle.Q.4.

What is RHS stands for? Ans: RHS stands for right angle-hypotenuse-side.Q.5. What condition must be followed to construct a triangle by using RHS criterion? Ans: The condition to be followed is that the length of the hypotenuse and any side of the right-angled triangle must be given.

## What is the construction of right angle triangle?

Construction of Right Angled Triangle – Steps Construction of a right-angled triangle is possible when the Hypotenuse and one side from the remaining two sides are known to us. A is a triangle which has one of its three angles equal to 90 degrees. The other two angles are acute angles.

## What is the RHS congruence rule?

FAQs – Q.1. What is the RHS rule in a triangle? Ans: RHS congruence rule states that if the hypotenuse and a side of one right-angled triangle are equal to the hypotenuse and a side of the other right-angled triangle, then those two right triangles are congruent to each other.Q.2.

- Which of the following conditions must be given for constructing a triangle by RHS criterion? Ans: The conditions given for constructing the triangle by RHS criterion are1.
- Hypotenuse 2.
- Any one side of the triangle Q.3.
- Which congruency rule is used to construct the right-angled triangle? Ans: The R.H.S congruency rule is used to construct the right-angled triangle.Q.4.

What is RHS stands for? Ans: RHS stands for right angle-hypotenuse-side.Q.5. What condition must be followed to construct a triangle by using RHS criterion? Ans: The condition to be followed is that the length of the hypotenuse and any side of the right-angled triangle must be given.