From the

right-angled triangle OLD, result the value of the angle P:

The battlefield lay like a squashed

right-angled triangle whose hypotenuse ran from Farbus Wood up some four miles up beyond Givenchy, through the Pimple to the Bois en Hache.

Unlike geometry - wherein the square of the hypotenuse of a

right-angled triangle is always equal to the sum of the squares of the other two sides - advertising requires a combination of knowledge, experience and instinct.

The child's father, engineer Muwafaq al-Karki, says Abdulqader mastered the four basic operations of elementary arithmetic (addition, subtraction, multiplication, and division), adding that the child was trained by his parents to solve equations of the second degree and calculus problems for calculating the length of the hypotenuse in a

right-angled triangle using the Pythagorean theorem.

The surprisingly difficult problem is to determine which whole numbers can be the area of a

right-angled triangle whose sides are whole numbers or fractions.

THE round course at Ascot is shaped like a

right-angled triangle, the shortest side being a home straight of just two and a half furlongs.

The site is a

right-angled triangle, bounded by the busy St Petersburgerstrasse along its hypotenuse on the south-east side.

Proof using Steiner's theorem: Extend the sides up to their point of intersection, and obtain a

right-angled triangle [DELTA]GAB.

The new building occupies the northern point on the

right-angled triangle of the site which is bounded on its hypotenuse by Franklin D.

From the previous exercise it is seen that there are only two shapes; a small

right-angled triangle within one square with side lengths (1, 1, [square root of (2)]) and an obtuse-angled triangle with side lengths (l, [square root of (2)], [square root of (5)]).

One way to imagine Pythagoras' theorem in a third dimension is to extend the

right-angled triangle (with hypotenuse c and legs a and b) into a right prism of length l, the squares on the sides of the triangle becoming cuboids on the faces of the prism as shown in Figure 1, where the

right-angled triangle is shown in black.

2] for a

right-angled triangle, explaining how to identify the hypotenuse and showcasing examples of typical questions which occur: finding the hypotenuse, finding one of the other sides, applying to 'real world' questions.

In the

right-angled triangle BCD we see that a = 2R - sin[angle]BDC = 2R - sin A.

Due to the fact that I listened during maths lessons in schools, I know fine well that in any

right-angled triangle, the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares of the other two sides.

Pupils at the Chorister School, Durham, had been asked to label the longest side of a

right-angled triangle - the hypotenuse.