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4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​4. Given: ∠P and ∠R are right angles; P͞Q͞ ≌ R͞Q͞

Prove: ∆QPT ≌ ∆QRT

STATEMENTS
10. ∆QPT and ∆QRT are right triangles

11.∆Q͞T͞ ≌ ∆Q͞T͞

WHAT IS THE REASON

PLEASE ANSWER THIS BRAINLEST KAAGAD​​​


Sagot :

Answer:

In triangle ACE,

AC² + CE² = AE² ...(i) (By Pythagoras Theorem)

In triangle DBC,

DC² + BC² = BD² ...(ii) (By Pythagoras Theorem)

In triangle ABC,

AC² + BC² = AB² ...(iii) (By Pythagoras Theorem)

In triangle DEC,

DC² + CE² = DE² ...(iv) (By Pythagoras Theorem)

Adding (i) and (ii) we get,

AE² + BD² = AC² + CE²+ DC²+ BC²

AE² +BD² = AC² +BC² +CE² + DC²

AE² + BD² = AB² + DE² [ from (iii) and (iv)]