## How are right triangles used in real life?

The concept of right triangles is used because carpenters need to be sure that walls are straight and corners are square. The Pythagorean Theorem relates the lengths of sides of a right triangle. Carpenters also use curves to create archways above windows and doors using the properties of circles.

**What are the applications of the Pythagoras Theorem in daily life?**

The Pythagoras theorem is commonly used to find the lengths of sides of a right-angled triangle. It is used to find the length of the diagonal of a square. Pythagoras theorem is used in security cameras for face recognition. Architects use the technique of the Pythagoras theorem for engineering and construction fields.

### What are the theorems for right triangle?

Proof of Right Angle Triangle Theorem Theorem:In a triangle, if square of one side is equal to the sum of the squares of the other two sides, then the angle opposite the first side is a right angle.

**What are the right triangle similarity theorems?**

If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar.

## What is La theorem?

First, there’s the LA theorem. This is the leg-acute theorem. It states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

**How can you apply triangle congruence to real life situation?**

Real-life examples of congruent objects (h3)

- Cigarettes in a pack.
- Wheels of a bicycle.
- Pages of a particular book.
- Your little fingers of both hands. Other fingers and thumbs are also congruent. Many of your body organs, like kidneys and lungs, are congruent.

### What is the importance of triangle inequality in our daily life?

In real life, civil engineers use the triangle inequality theorem since their area of work deals with surveying, transportation, and urban planning. The triangle inequality theorem helps them to calculate the unknown lengths and have a rough estimate of various dimensions.

**What is a real life examples of congruence?**

The two real-life example for congruent shapes are, Fan feathers of same brand. Size of chocolate in the same brand.

## Which one is a real life example of congruent shape?

⇒ Two polygons are congruent if they are the same size and shape – that is, if their corresponding angles and sides are equal.

- ⇒ Two real-life examples of congruent shapes are :
- (1) Pages of book.
- (2) Two same mobile phones.

**Why is Pythagoras Theorem important to us?**

The Pythagorean Theorem is so important in the world of Mathematics. When we deal with the right triangle, Pythagorean relation helps to study the length measures and establishes the relationship between the three sides of a right angled triangle.

### What is the 45 45 90 triangle theorem?

What is the 45 45 90 triangle theorem? The 45 45 90 triangle theorem states that 45 45 90 special right triangles that have sides of which the lengths are in a special ratio of 1 : 1 : 2 1:1:\sqrt{2} 1:1:2 and two 45° angles and one right angle of 90°. Standard dimensions and properties of a special 45 45 90 triangle.

**What is special right triangle theorem?**

Special right triangles are triangles whose sides are in a particular ratio, known as Pythagorean Triples. In geometry, the Pythagorean Theorem is a statement that shows the relationship of the sides of a right triangle.

## What is leg acute theorem?

This is the leg-acute theorem. It states that if the leg and an acute angle of one right triangle are congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.

**What is the LL congruence theorem?**

Leg Leg or LL Theorem is the theorem which can be used to prove the congruence of two right triangles. Explanation : If the legs of one right triangle are congruent to the legs of another right triangle, then the two right triangles are congruent. This principle is known as Leg-Leg theorem.