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What is the area of a right angle triangle when one side is greater than the other side by 4 cm and has an hypotenuse of 20 cm showing all work?
Lets take one side's length as 'x' then otherside equals (x+4) Addition of 'x'squared and (x+4)squared equal to 20*20 x*x + (x+4)(x+4)=20*20 Solving algebraic expression x =12 x+4=16 area=96
Another Answer:-
1 Let the sides be x+4 and x
2 Using Pythagoras: (x+4)2+x2 = 202 which transposes to 2x2+8x-384 = 0
3 Solving the above quadratic equation gives x a positive value of 12
4 Therefore the sides are 12+4 = 16 cm and 12 cm
5 Area = 0.5*16*12 = 96 square cm
What else can I help you with?
Which triangle has a hypotenuse?
right angle triangle
In a right triangle, the is opposite the right angle?
The side opposite the right angle of a right angle triangle is the hypotenuse
What is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled triangle.
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.
Is it possible to have a triangle with a right angle and no congruent sides?
Yes providing the sum of its smaller sides is greater than its longest side which in this case will be the hypotenuse of a right angle triangle.
Can base of triangle is greater than its hypotenuse?
No because the hypotenuse of a right angle triangle will always be its longest side.
Is hypotenuse is greater from other sides in Pythagoras theorem?
The hypotenuse is the longest side. In a right-angled triangle, the hypotenuse is always opposite the right angle.
Which triangle has a hypotenuse?
right angle triangle
In a right triangle, the is opposite the right angle?
The side opposite the right angle of a right angle triangle is the hypotenuse
The side of a right triangle opposite the right angle?
The side opposite the right angle is called the hypotenuse.
What is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled triangle.
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.
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
Is it possible to have a triangle with a right angle and no congruent sides?
Yes providing the sum of its smaller sides is greater than its longest side which in this case will be the hypotenuse of a right angle triangle.
What is the relationship between the hypotenuse and a right angle?
The hypotenuse is the side opposite to the right angle in the triangle.
What are the four congruence theorem for right triangle?
four types aressssasrhsasa1.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.
