Question

Find the value of 2x - 3 from the given figure.

Answer 1

Step-by-step explanation:

Given,

Base of the triangle = 6cm

Height of the triangle = 8cm

Hypotenuse of the triangle = x

∴ According to Pythagoras theorem,

$(Height)^{2}$ + $(Base)^{2}$ = $(Hypotenuse)^{2}$

=> $(8)^{2}$ + $(6)^{2}$ = $x^{2}$

=> 64 + 36 = $x^{2}$

=> 100 = $x^{2}$

=> x = $\sqrt{100}$ = 10

Hence, we got x = 10

So by the question,

2x - 3   (Putting value of x = 10)

= 2 × 10 - 3

= 20 - 3

= 17 (Ans)