Question

a=6cm,b=3cm,c=?.Find c if C is the measure of the hypotenuse​

Answer 1

Answer is in the picture

Answer 2

Given: ABC is a right-angled triangle, with side C as hypotenuse.

A= 6cm, B=3cm

To find: Length of hypotenuse C

Step-by-step explanation:

For solving this question, we can make use of Pythagoras Theorem which states that:

If a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

∴ in this question $C^{2}$=$A^{2}$ + $B^{2}$

• Putting values of A, B and C in eq(1)

⇒ $C^{2}$ = $6^{2}$ + $3^{2}$

⇒$C^{2}$ = 36 + 9

⇒ $C^{2}$ + 45

⇒C = $\sqrt{45}$cm