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Tju [1.3M]
3 years ago
15

Will mark Brainlest help me to find the value of x (step by step) pls​

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
8 0

Answer:

x=5 cm

Step-by-step explanation:

triangle ABC is an isoceles triangle

so BC=AC and angle A=angle B

BC=X and angle A=theta

angle B and angle A both is theta degree because base angles of an isosceles triangle are equal

to find angle A and B

angle A + angle B + angle c=180 degree (sum of interior angles of a triangle)

theta + theta +90=180

2theta=180-90

2theta=90

theta=90/2

theta=45 degree

sin both angle A and angle B are theta their value is 45 degree.

For side x

now using pythagoras theorem

take theta as reference angle

using sin rule

sin 45=opposite/hypotenuse

\frac{1}{\sqrt{2} } =x/5\sqrt{2}

\frac{1}{\sqrt{2} } *5\sqrt{2}=x

\frac{5\sqrt{2} }{\sqrt{2} } }=x

5=x

podryga [215]3 years ago
4 0

Answer:

5 (cm)

Step-by-step explanation:

1. according to the condition in ΔABC: AC=BC, m∠C=90°. Then m∠B=m∠A=45° and

2. x=AC=AB/√2; ⇔ x=5 (cm).

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