Select the correct answer.

What is the value of x in the triangle?

a 45-45-90 triangle with leg length 7 and hypotenuse length x

 A. 
 B. 
 C. 
 D. 


In a 45-45-90 triangle, the legs are congruent, and the ratio between the legs and the hypotenuse is \( 1 : 1 : \sqrt{2} \). Given that the length of each leg is 7, the hypotenuse is:

\[
x = 7 \times \sqrt{2}
\]

Thus, the value of \( x \) is \( 7\sqrt{2} \), approximately equal to \( 9.9 \).

If the answer choices were provided, the correct one would likely be \( 7\sqrt{2} \) or its decimal approximation. Do you have the specific options for A, B, C, and D?

Would you like more details or have any questions?

---

Here are 5 related questions:
1. How do you derive the hypotenuse of a 45-45-90 triangle from the leg length?
2. What are the properties of special right triangles like 30-60-90 and 45-45-90?
3. How can you calculate the length of the hypotenuse in a right triangle without using a calculator?
4. What other triangle types share the characteristic of having legs in a specific ratio?
5. How does the Pythagorean theorem apply to a 45-45-90 triangle?

**Tip:** In a 45-45-90 triangle, the hypotenuse is always \( \sqrt{2} \) times the leg length.

What is the value of x in the triangle? A 45-45-90 triangle with leg length 7 and hypotenuse length x

In this geometry problem, learn how to find the hypotenuse of a 45-45-90 triangle where the leg length is 7. The solution uses the special right triangle properties and the Pythagorean Theorem to calculate the hypotenuse. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation