Math Problem Statement
Solve for x
Solution
Let's break down the image to solve for .
We have a right triangle where:
- The length of side
- There is another right triangle , and .
- ,
We are tasked with finding , the length of .
Step 1: Apply the Pythagorean theorem to triangle :
In right triangle , we know that:
Step 2: Use the known values:
- (from the given dimensions in the image)
Substitute these into the Pythagorean theorem:
So, the value of (which is ) is , or approximately .
Would you like a more detailed explanation or further assistance with any other questions?
Here are some related questions:
- How do you solve a right triangle using the Pythagorean theorem?
- What is the difference between the hypotenuse and legs in a right triangle?
- How do you use the Pythagorean theorem in three-dimensional problems?
- What is the formula for the area of a right triangle?
- How do you apply trigonometric ratios in right triangles?
Tip: Always double-check the units you are using in problems, especially in geometry, to ensure consistency and avoid errors in your calculations.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Pythagorean Theorem
Formulas
AB^2 = AC^2 + BC^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
Related Recommendation
Calculate the Hypotenuse of a Right Triangle using Pythagorean Theorem
Geometry Problem: Right Triangle ABC with Proving Similarity and Calculating Lengths
Finding the Hypotenuse of a Right Triangle with Sides 7 and 8
Find the Hypotenuse Using the Pythagorean Theorem for Triangle with Sides 5 and 12
Find the Hypotenuse of a Right Triangle with Legs 12 cm and 5 cm