Question
Find the value of y, if you know the value of x=16
- 400
- 20
- 200
- 40
Hint:
We are given a triangle. An altitude is draw from one of its vertex. It divides the base into two parts. The length of the two parts are 9 and x. The value of x is given. It is 16. We are asked to find the length of the y.
The correct answer is: 20
If we see the figure, y is length of the hypotenuse of one of triangles formed due to altitude.
The sides of the triangle with hypotenuse “y” are given.
Let the sides be denoted as “Side1" and “Side2”
Side1 = 12
Side2 = 16
As the triangle with hypotenuse “y” is a right-angled triangle, we will use the Pythagoras theorem.
Pythagoras theorem: The square of the length of the hypotenuse of a right-angled triangle is equal to sums of the square of the sides the triangle.
(Hypotenuse) = 12 + 16
y = 144 + 256
y = 400
Taking the square root of both the sides we get,
y = 20
Therefore, the value of y is 20.
We should know the properties of a right-angled triangle. Pythagoras theorem is very important while solving the questions of a right-angled triangle.
Related Questions to study
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. Find the building tall.
We should know about different properties of similar triangles. We have to be careful about which sides to choose for the ratio. We should also know about different similarity tests.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long. Find the building tall.
We should know about different properties of similar triangles. We have to be careful about which sides to choose for the ratio. We should also know about different similarity tests.
Find the length of the altitude of triangle PQR.
To solve such questions, we should know the properties of right-angled triangles and similar triangles. Similar triangles have different sizes, but are of same shape. Their sides are in different proportion, but their angles are same. As a shortcut, we can just remember the last step of the above expression.
Find the length of the altitude of triangle PQR.
To solve such questions, we should know the properties of right-angled triangles and similar triangles. Similar triangles have different sizes, but are of same shape. Their sides are in different proportion, but their angles are same. As a shortcut, we can just remember the last step of the above expression.
Find the value of y.
For such questions, we should know the properties of right-angled triangle. We should know the trignometric ratios. The values of different sines and cosines should be known.
Find the value of y.
For such questions, we should know the properties of right-angled triangle. We should know the trignometric ratios. The values of different sines and cosines should be known.
A square has side length 95. The length of the diagonal of the square is? Express your answer in simplest radical form.
For such questions, we should know the properties of the right-angled triangle. The other method to solve it will be 45°-45°-90° theorem. Due to diagonal, the triangle which is formed has the sides in proportion 1:1:√2. Therefore, the value of hypotenuse is given by √2 multiplied by the value of the side.
A square has side length 95. The length of the diagonal of the square is? Express your answer in simplest radical form.
For such questions, we should know the properties of the right-angled triangle. The other method to solve it will be 45°-45°-90° theorem. Due to diagonal, the triangle which is formed has the sides in proportion 1:1:√2. Therefore, the value of hypotenuse is given by √2 multiplied by the value of the side.
