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What is the perimeter of a right angle triangle when one side is 7 cm shorter than the other side and has an hypotenuse of 17 cm?
Wiki User
∙ 7y ago
Let the sides be: x-7 and x
Using Pythagoras' theorem: (x-7)^2 +x^2 = 17^2 which is 289
Expanding brackets: x^2 -14x +49 +x^2 = 289
Collecting like terms and subtracting 289 from both sides: 2x^2 -14x -240 = 0
Using the quadratic equation formula: x has a positive value of 15
Therefore the perimeter is: (15-7)+15+17 = 40 cm
Wiki User
∙ 7y ago
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The hypotenuse of a right triangle is 20 cm long and the shorter leg of the triangle is 6 cm long what is the measure of the smaller acute angle of the triangle?
The measure of the smaller acute angle of the triangle is: 17.46 degrees.
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If it has an hypotenuse then it is a right angle triangle and if you know its angles then use trigonometry to find its other two sides.
How do you find the area of the right angle triangle given the base hypotenuse and perimeter?
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
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Which triangle has a hypotenuse?
right angle triangle
The hypotenuse of a right triangle is 20 cm long and the shorter leg of the triangle is 6 cm long what is the measure of the smaller acute angle of the triangle?
The measure of the smaller acute angle of the triangle is: 17.46 degrees.
How do you find the two shorter sides of a triangle when all you know if the hypotenuse and nothing else?
If it has an hypotenuse then it is a right angle triangle and if you know its angles then use trigonometry to find its other two sides.
How do you find the area of the right angle triangle given the base hypotenuse and perimeter?
It is: perimeter minus hypotenus+base = height Area = 0.5*base*height
In a right triangle, the is opposite the right angle?
The side opposite the right angle of a right angle triangle is the hypotenuse
Which triangle has a hypotenuse?
right angle triangle
The side of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
What are the Sides adjacent to the right angle of a triangle?
Adjacent means next to. So you're asking what sides of a triangle are next to the right angle of a triangle. That would be the 2 shorter sides of the triangle or 'legs' of the triangle. The hypotenuse (which is the longest side of the triangle) is directly across from the right angle.
The hypotenuse of a right triangle is a side opposite the?
The hypotenuse of a right (angled) triangle is the side opposite the right (90 degree) angle. The hypotenuse is also the longest side.The hypotenuse of a right triangle is the side opposite theThe sine of an angle is the side opposite over the hypotenuse of the triangle.
How do you figure out the perimeter of an triangle when you only have a measurement for the hypotenuse?
It is impossible. You need another measurement, such as angle, side length or area etc.
What is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled triangle.
What are right triangle congruence theorem?
1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.
What is the side opposite the right angle triangle in a right angled triangle?
The side opposite the right angle of a triangle is the hypotenuse which is the longest side
