In triangles △khj and △lgw, m∠k=m∠l, m∠h=m∠g, kh=8, lg=4, gw=2.5, and kj=lw+3. find the unknown sides of these triangles.

KJ = 6 , LW = 3 , KJ = 6

Step-by-step explanation:

Let LW be x then KJ be x + 3

In ΔKHJ and ΔLGW,

∠K = ∠L and ∠H = ∠G , So, by AA Similarity,

Therefore,

First taking,

∴LW = 3 , KJ = 6

Now,

⇒ HJ = 5

The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.

Given :

Given that m∠K = m∠L, m∠H = m∠G, therefore, triangle △KHJ and △LGW are congruent to each other by AA similarity postulate.

To determine the unknown sides of the given triangles, first, let the unknown side LW be 'a' and the side KJ be 'a + 3'.

 -----  (1)

2a = a + 3

a = 3

Put the value of 'a' in equation (1).

HJ = 5

LW = 3

KJ = 3 + 3 = 6

The unknown sides of the triangle KHJ and triangle LGW are HJ = 5, LW = 3, and KJ = 6 and this can be determined by using the given data.

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step-by-step explanation:

the highest percentage for deaths in construction from highest to lowest is as follows: falls, struck by objects, electrocution, and caught-in/between. these four are collectively known as fatal four.

in the case of falls, the type that is responsible for the overall highest death in the category is falls from roofs.