0
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?
Wiki User
∙ 10y ago
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
Wiki User
∙ 10y ago
Add your answer:
Earn +20 pts
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 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 is hypotenuse in right angle triangle?
The hypotenuse is the longest side of a right angled 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.
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.
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 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
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.
