Answer

Verified

382.8k+ views

**Hint:**We know that the right-angled triangle has one of the angles to be equal to $90^\circ $, here we are also given the two sides of the triangle and here third side of the triangle can be calculated by using the Pythagorean theorem or by using the laws of Sines.

**Complete step-by-step solution:**

First of all draw the right angled triangle and entitle it with A, B and C.

By using the Pythagoras theorem which states that in any right angled triangle the square of the hypotenuse is the sum of the square of the adjacent side and the square of the opposite side.

$A{C^2} = A{B^2} + B{C^2}$ . Hence, if we know measures of any two sides of the triangle then we can find out the measure of the third side by using the above equation.

**Note:**We can find the measure of the third side by using the Law of Sines.

i) First of all set up the triangle and mark the angles and the sides of the triangle.

The side opposite the angle is matched with the angle. Label “a” to the side opposite to angle A, similarly the side across from angle B as b and the side opposite to the angle C as “c” as shown below.

ii) The equation to find out the third unknown side.

$\dfrac{a}{{\sin A}} = \dfrac{b}{{\sin B}} = \dfrac{c}{{\sin C}}$

iii) Calculate the unknown angle and then find the required unknown length.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Difference Between Plant Cell and Animal Cell

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Change the following sentences into negative and interrogative class 10 english CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Select the word that is correctly spelled a Twelveth class 10 english CBSE