If ΔSTU≅ΔHIJ, then what corresponding parts are congruent?
2 answers:
Answer:
The answer are given below.
The corresponding congruent angles are as follows
∠ STU ≅ ∠ HIJ
∠ TUS ≅ ∠ IJH
∠ UST ≅ ∠ JHI
The corresponding congruent sides are as follows
ST ≅ HI
TU ≅ IJ
SU ≅ HJ
Step-by-step explanation:
If Δ STU ≅ Δ HIJ ....... Given
if two triangles are congruent then
- corresponding sides are congruent
- corresponding angles are congruent
The corresponding congruent angles are as follows
∠ STU ≅ ∠ HIJ
∠ TUS ≅ ∠ IJH
∠ UST ≅ ∠ JHI
The corresponding congruent sides are as follows
ST ≅ HI
TU ≅ IJ
SU ≅ HJ
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Answer:
25 ft
Step-by-step explanation:
The diagram shows two triangles that are similar. Similar triangles have equal angles and sides that are proportional to each other. Since the base of each triangle is given, we can find the proportion of the sides:
Given the ratio of the smaller to larger triangle, we can set up a proportion to find the missing height of the larger triangle:
, where 'x' represent the height of the tree
cross-multiply: x = (5)(5) or 25 ft
I switched the x and y so it’s easier to see. The answer is (x-1)/(23).
