If the hypotenuse of the bigger right triangle is 15 cm, find the ratio of the area of the bigger to smaller right triangle. The figure below comprises two right triangles which are joined together. Therefore, one would need 300,000 right triangles (5 cm by 12 cm by 13 cm) to cover up a 30 m length square lawn. Number of cement block = 9 000 000 c m 2 30 c m 2 Number of cement block = 300 000 N u m b e r o f c e m e n t b l o c k = A r e a o f s q u a r e l a w n A r e a o f r i g h t a n g l e d c e m e n t b l o c k = A r e a s q u a r e l a w n A r e a r i g h t t r i a n g l eīut first, we need to convert m 2 to cm 2 by recalling thatġ00 c m = 1 m ( 100 c m ) 2 = ( 1 m ) 2 10 000 c m 2 = 1 m 2 900 m 2 = 9 000 000 c m 2 The height of an isosceles triangle is calculated using the length of its base and the length of one of the congruent sides. Now the area of the right triangle and the square has been calculated, we can now determine how many of the right-triangular cement blocks can be found on the square lawn. Formula for the height of an isosceles triangle. of an isosceles triangle can be derived from the formula for its height, and from the general formula for the area of a triangle as half the product of base and. In order to know the number of right triangles that would cover up the square lawn, we should calculate the area of each right triangle that would occupy in order to fill the square.Ī r e a r i g h t t r i a n g l e = 1 2 × b a s e × h e i g h t = 1 2 × 12 × 5 = 30 c m 2 We let l be the side length of the square lawn so l = 30m,Ī r e a s q u a r e l a w n = l 2 = 30 2 = 900 m 2 We need to determine the surface area of the square lawn. How many right triangles are needed to cover the lawn? Now, substitute the base and height value in the formula. Hence the right response to this is question is,Ī right triangle cement block with sides 5 cm, 13 cm, and 12 cm is used to cover up a square lawn with a side length of 30 cm. We know that the area of an isosceles triangle is ½ × b × h square units. Therefore, this implies that figure III is an isosceles right triangle since it does not just possess one of its angles equal to 90° but the two other angles are equal. A right triangle is the one in which the measure of any one of the interior angles is 90 degrees. In this section, we will talk about the right triangle formula, also called the right-angled triangle formulas. Unlike figure I, figure III has a 45º angle, which means that the third angle would also be 45°. The most common types of triangles that we study are equilateral, isosceles, scalene and right-angled triangles. Likewise what we have in figure I, figure III has one of its angles equal to 90°. However, in figure II, none of its angles equals 90º. This means that figure I is a scalene right triangle. However, the indications on its sides show that no two of its sides are equal. We can see that figure I is a right triangle because it has one of its angles equal to 90°. Classify the following angles labelled I to III.
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