**A right-angle triangle has an adjacent side 60 mm long and an opposite side 40 mm long. Calculate the hypotenuse.**

To calculate the hypotenuse of a right-angled triangle, we can use the **Pythagorean theorem**, which states:

\[
c^2 = a^2 + b^2
\]

Where:
- \( c \) is the hypotenuse,
- \( a \) is the adjacent side, and
- \( b \) is the opposite side.

Given:
- Adjacent side \( a = 60 \, \text{mm} \),
- Opposite side \( b = 40 \, \text{mm} \).

Substitute the values into the formula:

\[
c^2 = 60^2 + 40^2
\]
\[
c^2 = 3600 + 1600
\]
\[
c^2 = 5200
\]
\[
c = \sqrt{5200} \approx 72.11 \, \text{mm}
\]

So, the hypotenuse is approximately **72.11 mm**.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the formula for finding an angle in a right-angled triangle using trigonometry?
2. How would you calculate the area of this right-angle triangle?
3. How do the sine, cosine, and tangent functions relate to the sides of a right triangle?
4. What would be the perimeter of this triangle?
5. How would the hypotenuse change if the opposite side were doubled?

**Tip:** Remember that the Pythagorean theorem only applies to right-angled triangles!

A right-angle triangle has an adjacent side 60 mm long and an opposite side 40 mm long. Calculate the hypotenuse.

Learn how to calculate the hypotenuse of a right-angled triangle with adjacent and opposite sides of 60 mm and 40 mm using the Pythagorean theorem. This step-by-step solution provides the formula and a clear explanation, perfect 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