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直角三角形ソルバー

測定計算機

Right Triangle Area from Hypotenuse & Altitude

Enter hypotenuse c and altitude h to calculate the area.

面積のバリエーション (高さ) 計算機

この計算機は Area=(c×h)/2\text{Area} = (c \times h) / 2 に従い、Area を算出します。

数値を入力して Area を計算します。

What This Calculator Solves

Calculate the total area when the hypotenuse and the altitude drawn to the hypotenuse are known.

Finds area by using the hypotenuse as the base of the triangle.

Known values

Hypotenuse c and altitude h

Finds

Area (A)

Main formula

A = (c × h) / 2

Best for

Projection problems and alternate base perspectives

Area Formula

A=12chA = \frac{1}{2} c h

A triangle's area is 1/2 × base × height. If you use the hypotenuse (c) as the base, the corresponding height is the altitude to the hypotenuse (h).

Diagram: Altitude to Hypotenuse

The diagram shows the right triangle rotated so the hypotenuse lies flat as the base.

Diagram: Altitude to Hypotenuse Area formula A = (c × h) / 2. a b c

Diagram Key

c = hypotenuse (base)

The long side used as base.

h = altitude (height)

Perpendicular height to hypotenuse.

A = area

Total square units.

A = Area

Computed as (c × h) / 2.

  • Altitude h must be less than or equal to c/2.

How to Calculate

  1. Enter hypotenuse c.
  2. Enter altitude h.
  3. Click Calculate.

Worked Example

If hypotenuse is 10 and altitude is 4.8:

A=12chA = \frac{1}{2} c h
A=0.5×10×4.8A = 0.5 \times 10 \times 4.8
A=24A = 24

The area is 24 square units.

Altitude limits

In any right triangle, the maximum possible altitude to the hypotenuse is exactly half the length of the hypotenuse. If h > c/2, no such right triangle exists.

help

よくある質問

直角三角形の測定と面積に関するよくある質問への回答。

01 Is this the same area as using the legs? expand_more

Yes. (a × b) / 2 always exactly equals (c × h) / 2.

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