Question

Right sided triangle hypotenuse is 17cm and adjacent is12cm what is the length of opposite

Answer 1

Answer:

using phythagores theorem

Step-by-step explanation:

the p is the other side of the right angled triangle

Answer 2

Given:

Hypotenuse = 17 cm.

Adjacent side or base = 12 cm.

To Find:

The length of the opposite side or height of the triangle.

Solution:

Hypotenuse = 17 cm.

Base = 12 cm.

Let, the length of the opposite side be, 'h'.

From the Pythagoras theorem we get that,

$Hypotenuse = \sqrt{height^{2}+base^{2} }$

∴ According to the problem,

$17 = \sqrt{h^{2}+(12)^{2} }$

$or, (17)^{2} = h^{2}+(12)^{2}$

$or, 289 = h^{2}+144$

$or, h^{2} + 144 = 289$

$or, h^{2} = 289-144$

$or, h^{2}= 145$

$or, h =\sqrt{145}$

or, h = 12.04 cm.

∴ The length of the adjacent side of the triangle is 12.04 cm.

Answer:

          The length of the adjacent side of the triangle is 12.04 cm.