In triangle PQR, the sides PQ, QR, and PR measure 15 in, 20 in, and 25 in, respectively.

Prove that triangle PQR is a right triangle.

Question

27-02-2024
Mathematics

High School

We appreciate your visit to In triangle PQR the sides PQ QR and PR measure 15 in 20 in and 25 in respectively Prove that triangle PQR is a right. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

In triangle PQR, the sides PQ, QR, and PR measure 15 in, 20 in, and 25 in, respectively.

Prove that triangle PQR is a right triangle.

Answer :

Other Questions

According to Ravenstein's "law of migration, " a migrant who traveled 5,

Which expressions are equivalent to [tex]$8.9x + 6.2 + 8.7$[/tex]? Check all

A 150-kg object takes 1.5 minutes to travel a 2, 500-meter straight

When 2.00 kJ of energy is transferred as heat to nitrogen in

Jake worked for 6 hours on Sunday, 4 hours on Monday, 5

The earliest stringed instrument capable of playing different tones was the: A.

The most common refrigerant used in a room air conditioner is __________.

Write the abbreviated electron configuration for $ \text{Al}^{2+} $.

customers in a motor vehicle office pick up a ticket from a

What agency relies on proactive, caring, and courageous soldiers, family members, and

MrRoyal MrRoyal · Answer 1 · 2023-12-28T13:00:03-05:00

The triangle PQR is a right triangle, and the angle opposite to the side PR is a right angle.

Proving that PQR is a right triangle.

To prove that the triangle PQR is a right triangle, we need to show that one of its angles is a right angle, i.e., it measures 90 degrees.

We can do this by using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

In this case, we have side lengths PQ = 15 in, QR = 20 in, and PR = 25 in. Let's check whether they satisfy the Pythagorean theorem.

Using the theorem, we have:

PR^2 = PQ^2 + QR^2

Substituting the values, we get:

25^2 = 15^2 + 20^2

Simplifying the right-hand side, we get:

625 = 225 + 400

Therefore, the equation is true, and the set of side lengths satisfies the Pythagorean theorem. This means that the triangle PQR is a right triangle, and the angle opposite to the side PR is a right angle.

In triangle PQR, the sides PQ, QR, and PR measure 15 in, 20 in, and 25 in, respectively.Prove that triangle PQR is a right triangle.

Answer :

Proving that PQR is a right triangle.

Other Questions

In triangle PQR, the sides PQ, QR, and PR measure 15 in, 20 in, and 25 in, respectively.

Prove that triangle PQR is a right triangle.