Pythagoras' theorem is used for calculating the sides of a right angle triangle whereas when its hypotenuse is squared it is equal to sum of its sides when squared and the formula is:-
a2+b2 = c2 whereas a and b are the sides of the triangle and c being its hypotenuse or longest side
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If its a right angle triangle with an hypotenuse of 25 units then the sides are 7 and 24 units
The idea is to use the Pythagorean theorem: take the square root of (square of the difference in x-coordinates + square of the difference in y-coordiantes).
Use the Pythagorean Theorem: c2 = a2 + b2 c2 = 72 + 52 c2 = 49 + 25 c2 = 74 c = square root of 74 = about 8.6
Use the Pythagorean theorem: c2 = a2 + b2, in this example we need to know, let's say a. So that, x2 = c2 - b2 x = √(212 - 72)= √(441 - 49) = √392 = √196*2 = 14√ 2
First, always start with the base. To find the base in a pyramid like that, and assuming that it forms a right triangle, you will need to use the Pythagorean Theorem on the right triangle to find the height of the rectangular base. Pythagorean theorem = a2 + b2 = c2.You should get that the height of the base (hypotenuse of the triangle) is 10 feet. It is a multiple of a Pythagorean Triple, so you don't even need to use the Pythagorean theorem. Use A(rectangle) = bh to find the area of the base. So, B (area of base) = 70 ft2.Now, find the perimeter of the base. You should get 34 ft.Now you need to find the Lateral Area. LA (lateral area) = ph (perimeter of Base times the height of overall figure). You can figure out the height by splitting the side in half into two right triangles, and you can solve for the height (one of the sides of the newly formed right triangles) by using the Pythagorean theorem once again. LA = 34 X (6.26). LA = 212.84 ft2.The formula for Surface Area is LA + B. SA (surface area) = 212.84 + 70 = 282.84 ft2.