Table of Contents
What is the hypotenuse of 3cm and 4cm?
The lengths of the sides are 3cm, 4cm and 5cm. The hypotenuse is the 5cm side because it is opposite the right-angle and it is the longest side….Question 2.
| (a) | (i) calculate the area of square A cm² |
|---|---|
| (iii) add together the area of squares A and B cm² | |
| (iv) calculate the area of square C cm² |
How do you find the length of the third side of a right angled triangle?
The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras’ theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .
What is the hypotenuse if base is 4cm and perpendicular is 3cm?
If the base and perpendicular of a right-angled triangle are 3cm and 4cm, respectively, find the hypotenuse. Hence, the length of the hypotenuse is 5cm.
What is the formula for right angle triangle?
Right Triangles and the Pythagorean Theorem. The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.
What is the hypotenuse of 4 and 3?
So, the hypotenuse is 5 .
How to find the length of the right triangle side lengths?
Given angle and hypotenuse; Apply the law of sines or trigonometry to find the right triangle side lengths: a = c * sin(α) or a = c * cos(β) b = c * sin(β) or b = c * cos(α) Given angle and one leg; Find the missing leg using trigonometric functions: a = b * tan(α) b = a * tan(β) Given area and one leg
How do you find the angle of a right triangle?
Their angles are also typically referred to using the capitalized letter corresponding to the side length: angle A for side a, angle B for side b, and angle C (for a right triangle this will be 90°) for side c, as shown below.
What are the two shortest sides of a right triangle?
The two shortest sides of a right triangle are the legs of the triangle, in this case, of lengths 3 and 4 cm. The longest side, the hypotenuse, is calculated using the pythagorean theorem if the leg lengths are known.
What is the ratio of sides of a right triangle?
In this type of right triangle, the sides corresponding to the angles 30°-60°-90° follow a ratio of 1:√ 3 :2. Thus, in this type of triangle, if the length of one side and the side’s corresponding angle is known, the length of the other sides can be determined using the above ratio. For example, given that the side corresponding to
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