Right Angle Triangle Hypotenuse Calculator
How to use this Right Angle Triangle Hypotenuse Calculator 🤔
- Enter ✎ value for length of base of right triangle (base).
- Enter ✎ value for height of right triangle (height).
- As soon as you enter the required input value(s), the Right Angle Triangle Hypotenuse is calculated immediately, and displaed in the output section (present under input section).
Calculation
Once you enter the input values in the calculator, the output parameters are calculated.
Examples
The following examples cover how to calcualte the Hypotenuse when length of base of right triangle, and height of right triangle are given.
1. What is the Hypotenuse of Right Triangle whose length of base of right triangle is 10 units, and height of right triangle is 15 units?
Answer
Given:
- length of base of right triangle, base = 10 units
- height of right triangle, height = 15 units
The formula to find the Hypotenuse of a Right Triangle is:
h = \(\sqrt{ base ^2 + height ^2 } \)
Substitute given values in the above formula.
h = \(\sqrt{10^2 +15^2 } \)
h = 18.03 units
∴ Hypotenuse, h = 18.03 units
2. What is the Hypotenuse of Right Triangle whose length of base of right triangle is 1 units, and height of right triangle is 0.5 units?
Answer
Given:
- length of base of right triangle, base = 1 units
- height of right triangle, height = 0.5 units
The formula to find the Hypotenuse of a Right Triangle is:
h = \(\sqrt{ base ^2 + height ^2 } \)
Substitute given values in the above formula.
h = \(\sqrt{1^2 +0.5^2 } \)
h = 1.12 units
∴ Hypotenuse, h = 1.12 units
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"input_types": [
"float",
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],
"input_labels": [
"base",
"height"
],
"input_values": [
"8",
"5"
],
"input_units": [
"units",
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"input_descriptions": [
"length of base of right triangle",
"height of right triangle"
],
"examples": [
{
"base": 10,
"height": 15
},
{
"base": 1,
"height": 0.5
}
],
"type": "Calculate",
"title": "Right Angle Triangle Hypotenuse",
"category": "Geometry",
"shape": "Right Triangle",
"formula_mathjax": "\\(\\sqrt{ base ^2 + height ^2 } \\)",
"formula": " Math.sqrt( base * base + height * height ) ",
"op_label": "Hypotenuse",
"output_unit": "units",
"description": "The hypotenuse calculator calculates the length of hypotenuse of a right angled triangle by taking its base length and height as inputs.",
"explanation": "The hypotenuse of a right angle triangle is calculated using Pythagoras Theorem which states that the square of hypotenuse is the sum of squares of base and height.",
"examples_data": "<h2>Examples</h2><p>The following examples cover how to calcualte the Hypotenuse when length of base of right triangle, and height of right triangle are given.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> What is the Hypotenuse of Right Triangle whose length of base of right triangle is 10 units, and height of right triangle is 15 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of base of right triangle, base = 10 units<li>height of right triangle, height = 15 units</ul><p>The formula to find the Hypotenuse of a Right Triangle is:</p><p class=\"tabspace\">h = \\(\\sqrt{ base ^2 + height ^2 } \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">h = \\(\\sqrt{10^2 +15^2 } \\)</p><p class=\"tabspace\">h = 18.03 units</p><p class=\"tabspace answer\">∴ Hypotenuse, h = 18.03 units</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> What is the Hypotenuse of Right Triangle whose length of base of right triangle is 1 units, and height of right triangle is 0.5 units?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li>length of base of right triangle, base = 1 units<li>height of right triangle, height = 0.5 units</ul><p>The formula to find the Hypotenuse of a Right Triangle is:</p><p class=\"tabspace\">h = \\(\\sqrt{ base ^2 + height ^2 } \\)</p><p>Substitute given values in the above formula.</p><p class=\"tabspace\">h = \\(\\sqrt{1^2 +0.5^2 } \\)</p><p class=\"tabspace\">h = 1.12 units</p><p class=\"tabspace answer\">∴ Hypotenuse, h = 1.12 units</p></div>",
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