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marin [14]
3 years ago
13

ABC is a right triangle with AB = AC. Bisector of ∠A meets BC at D. prove that ∆ ABC ≅ ∆DEF

Mathematics
1 answer:
Olegator [25]3 years ago
5 0

Answer:

Triangles ABC and DEF have the following characteristics :B and E are right angles A=D, BC=EF which congruence theorem can be used to prove ABC =DEF

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deff fn [24]

Answer:

QR = 17 cm

Step-by-step explanation:

Δ RST is a 5- 12- 13 triangle with hypotenuse RT = 13 cm , then

TS = 5 cm and PT = 2 × 5 = 10 cm

So PS = 10 + 5 = 15 cm

PS is parallel to the vertical line from vertex Q and intersects the horizontal line projected from SR of length 20 - 12 = 8 cm

Using the right triangle formed calculate QR using Pythagoras' identity

QR² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )

QR = \sqrt{289} = 17

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Answer:

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