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Please help me find the sides of this triangle using the special right triangle method, 45-45-90. With work :)

Please help me find the sides of this triangle using the special right triangle method-example-1
User Garbee
by
7.4k points

2 Answers

5 votes

Answer:

see explanation

Explanation:

The sides of a 45- 45- 90 triangle are in the ratio 1 : 1 :
√(2)

where 1 , 1 are the legs and
√(2) the hypotenuse

If we let the ratio be a : a :
√(2) a , then

AT = AD = a = 10

DT =
√(2) a = 10
√(2)

User Arlind
by
6.9k points
4 votes

Answer:

Explanation:

The basic 45-45-90 triangle ratio is :

Side opposite to 45° angle: x

Side opposite to 45° angle: x

Side opposite to 90° angle: x√2

Ratios of sides of 45-45-90 triangle is x : x : x√2

Side opposite to ∠D which is 45° is : 10

AT = x = 10

Side opposite to ∠T which is 45° is : 10

AD = x = 10

Side opposite to ∠A which is 90° is : TD

TD = x√2 = 10*√2 = 10√2

User MisterBla
by
8.1k points