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A right triangle is the right-angled triangle. The side opposite the right angle is called the hypotenuse and the other two sides are called the cathetus.
Abbreviations: A - area, AB - cathetus, AC - cathetus, BC - hypotenuse and AD - height.
Height formula in a right triangle.
The formula of the area of the right triangle.
Abbreviations: A - area, AB - cathetus, AC - cathetus, BC - hypotenuse and AD - height.
1. The area of a right triangle is 60 cm² and the height AD is 8 cm long. Calculate the length of the hypotenuse.
60 = (BC × AD) / 2
60 = (BC × 8) / 2
120 = BC × 8
BC = 15
2. Calculate the area of a right triangle if the beads are 10 cm long and 6 cm long.
A = (AB × AC) / 2
A = (10 × 6) / 2
A = 60 : 2
The area is 30 cm²
3. Calculate the area of a right triangle if the hypotenuse of the triangle is 12 cm long and the height 7 cm long.
A = (BC × AD) / 2
A = 84 : 2
The area is 42 cm²
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