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Rashid [163]
2 years ago
5

The two triangles shown are congruent. Find the value of x

Mathematics
1 answer:
shusha [124]2 years ago
4 0

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = \sqrt{625} = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

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