Question

The length of the
hypotenuse of a right-
angled triangle is 7.8 cm,
correct to 1 decimal place.
One of the shorter side
lengths is 2.1 cm, correct
to 1 decimal place. Estimate
the length of the remaining
side, rounding your answer
to 1 decimal place.

Answer 1

Answer:

7.5 cm

Step-by-step explanation:

Since it's a right triangle, apply pythegorean theorem

Let the missing side be x

${7.8}^{2} = 2.1 { }^{2} + x {}^{2}$

$60.84 = 4.41 + {x}^{2}$

${x}^{2} = 60.84 - 4.41$

${x}^{2} = 56.43$

$\sqrt{ {x}^{2} } = \sqrt{56.43}$

$x = 7.5$

Therefore, the length of the missing side is 7.5 cm